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13311000131 = 11133110512857
BaseRepresentation
bin11000110010110010…
…11011111001000011
31021100122222212102212
430121121123321003
5204230104001011
610040500532335
7650600430362
oct143131337103
937318885385
1013311000131
115710792460
1226b59b10ab
131341951650
14903ba37d9
1552d8d508b
hex31965be43

13311000131 has 32 divisors (see below), whose sum is σ = 16163567616. Its totient is φ = 10795680000.

The previous prime is 13311000127. The next prime is 13311000139. The reversal of 13311000131 is 13100011331.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13311000131 - 22 = 13311000127 is a prime.

It is a super-2 number, since 2×133110001312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13311000139) 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, 4657655 + ... + 4660511.

It is an arithmetic number, because the mean of its divisors is an integer number (505111488).

Almost surely, 213311000131 is an apocalyptic number.

13311000131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13311000131 is a deficient number, since it is larger than the sum of its proper divisors (2852567485).

13311000131 is a wasteful number, since it uses less digits than its factorization.

13311000131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 13311000131 its reverse (13100011331), we get a palindrome (26411011462).

The spelling of 13311000131 in words is "thirteen billion, three hundred eleven million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 11 13 31 143 341 403 1051 2857 4433 11561 13663 31427 32581 37141 88567 150293 358391 408551 423553 974237 1151371 3002707 4659083 12665081 33029777 39035191 93083917 429387101 1023923087 1210090921 13311000131