13131110311000 has 256 divisors, whose sum is σ = 35372578176000. Its totient is φ = 4512326400000.

The previous prime is 13131110310977. The next prime is 13131110311031. The reversal of 13131110311000 is 11301113131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83730661 + ... + 83887339.

It is an arithmetic number, because the mean of its divisors is an integer number (138174133500).

Almost surely, 2^{13131110311000} is an apocalyptic number.

13131110311000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13131110311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17686289088000).

13131110311000 is an abundant number, since it is smaller than the sum of its proper divisors (22241467865000).

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

13131110311000 is a wasteful number, since it uses less digits than its factorization.

13131110311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157131 (or 157117 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 13131110311000 its reverse (11301113131), we get a palindrome (13142411424131).

The spelling of 13131110311000 in words is "thirteen trillion, one hundred thirty-one billion, one hundred ten million, three hundred eleven thousand".