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13310131203312 = 2432692293449557
BaseRepresentation
bin1100000110110000000110…
…1001000110110011110000
31202010102202221002000020220
43001230001221012303300
53221033122042001222
644150331224333040
72542424313340656
oct301540151066360
952112687060226
1013310131203312
114271882084a99
1215ab714014180
137571a8721888
143402dc8c0dd6
151813614bdb5c
hexc1b01a46cf0

13310131203312 has 80 divisors (see below), whose sum is σ = 34527457020960. Its totient is φ = 4418279525376.

The previous prime is 13310131203293. The next prime is 13310131203331. The reversal of 13310131203312 is 21330213101331.

It is an interprime number because it is at equal distance from previous prime (13310131203293) and next prime (13310131203331).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29382438 + ... + 29831994.

It is an arithmetic number, because the mean of its divisors is an integer number (431593212762).

Almost surely, 213310131203312 is an apocalyptic number.

13310131203312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13310131203312 is an abundant number, since it is smaller than the sum of its proper divisors (21217325817648).

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

13310131203312 is a wasteful number, since it uses less digits than its factorization.

13310131203312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452130 (or 452124 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13310131203312 its reverse (21330213101331), we get a palindrome (34640344304643).

The spelling of 13310131203312 in words is "thirteen trillion, three hundred ten billion, one hundred thirty-one million, two hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 269 538 807 1076 1614 2152 2293 3228 4304 4586 6456 6879 9172 12912 13758 18344 27516 36688 55032 110064 449557 616817 899114 1233634 1348671 1798228 1850451 2467268 2697342 3596456 3700902 4934536 5394684 7192912 7401804 9869072 10789368 14803608 21578736 29607216 120930833 241861666 362792499 483723332 725584998 967446664 1030834201 1451169996 1934893328 2061668402 2902339992 3092502603 4123336804 5804679984 6185005206 8246673608 12370010412 16493347216 24740020824 49480041648 277294400069 554588800138 831883200207 1109177600276 1663766400414 2218355200552 3327532800828 4436710401104 6655065601656 13310131203312