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13132131121230 = 23511891709261631
BaseRepresentation
bin1011111100011001000000…
…0000101011100001001110
31201111102022210111221122020
42333012100000223201032
53210124101031334410
643532452345031010
72523523310531232
oct277062000534116
951442283457566
1013132131121230
11420333a733840
121581118185466
1374347c226214
1433585455c5c2
1517b8e465da70
hexbf19002b84e

13132131121230 has 128 divisors (see below), whose sum is σ = 34789102387200. Its totient is φ = 3145922841600.

The previous prime is 13132131121217. The next prime is 13132131121243. The reversal of 13132131121230 is 3212113123131.

It is an interprime number because it is at equal distance from previous prime (13132131121217) and next prime (13132131121243).

It is a self number, because there is not a number n which added to its sum of digits gives 13132131121230.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50062515 + ... + 50324145.

It is an arithmetic number, because the mean of its divisors is an integer number (271789862400).

Almost surely, 213132131121230 is an apocalyptic number.

13132131121230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13132131121230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17394551193600).

13132131121230 is an abundant number, since it is smaller than the sum of its proper divisors (21656971265970).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13132131121230 is a wasteful number, since it uses less digits than its factorization.

13132131121230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263450.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13132131121230 its reverse (3212113123131), we get a palindrome (16344244244361).

The spelling of 13132131121230 in words is "thirteen trillion, one hundred thirty-two billion, one hundred thirty-one million, one hundred twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 89 110 165 178 267 330 445 534 890 979 1335 1709 1958 2670 2937 3418 4895 5127 5874 8545 9790 10254 14685 17090 18799 25635 29370 37598 51270 56397 93995 112794 152101 187990 261631 281985 304202 456303 523262 563970 760505 784893 912606 1308155 1521010 1569786 1673111 2281515 2616310 2877941 3346222 3924465 4563030 5019333 5755882 7848930 8365555 8633823 10038666 14389705 16731110 17267646 23285159 25096665 28779410 43169115 46570318 50193330 69855477 86338230 116425795 139710954 232851590 256136749 349277385 447127379 512273498 698554770 768410247 894254758 1280683745 1341382137 1536820494 2235636895 2561367490 2682764274 3842051235 4471273790 4918401169 6706910685 7684102470 9836802338 13413821370 14755203507 24592005845 29510407014 39794336731 49184011690 73776017535 79588673462 119383010193 147552035070 198971683655 238766020386 397943367310 437737704041 596915050965 875475408082 1193830101930 1313213112123 2188688520205 2626426224246 4377377040410 6566065560615 13132131121230