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13130103513310 = 257313727941741
BaseRepresentation
bin1011111100010001011100…
…1001111110000011011110
31201111020002111012210110121
42333010113021332003132
53210110422444411220
643531515234225154
72523422130253000
oct277042711760336
951436074183417
1013130103513310
11420249a14aa13
1215808511251ba
13743218133914
14335701158370
1517b826645eaa
hexbf11727e0de

13130103513310 has 64 divisors (see below), whose sum is σ = 27762914851200. Its totient is φ = 4468890128640.

The previous prime is 13130103513301. The next prime is 13130103513311. The reversal of 13130103513310 is 1331530103131.

It is a super-2 number, since 2×131301035133102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130103513311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13500961 + ... + 14440780.

It is an arithmetic number, because the mean of its divisors is an integer number (433795544550).

Almost surely, 213130103513310 is an apocalyptic number.

13130103513310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13130103513310 is an abundant number, since it is smaller than the sum of its proper divisors (14632811337890).

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

13130103513310 is a wasteful number, since it uses less digits than its factorization.

13130103513310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27941906 (or 27941892 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 25.

Adding to 13130103513310 its reverse (1331530103131), we get a palindrome (14461633616441).

The spelling of 13130103513310 in words is "thirteen trillion, one hundred thirty billion, one hundred three million, five hundred thirteen thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 137 245 274 343 490 685 686 959 1370 1715 1918 3430 4795 6713 9590 13426 33565 46991 67130 93982 234955 469910 27941741 55883482 139708705 195592187 279417410 391184374 977960935 1369145309 1955921870 2738290618 3828018517 6845726545 7656037034 9584017163 13691453090 19140092585 19168034326 26796129619 38280185170 47920085815 53592259238 95840171630 133980648095 187572907333 267961296190 375145814666 937864536665 1313010351331 1875729073330 2626020702662 6565051756655 13130103513310