13131012310311 has 32 divisors (see below), whose sum is σ = 21631526095360. Its totient is φ = 6916395828096.

The previous prime is 13131012310291. The next prime is 13131012310319. The reversal of 13131012310311 is 11301321013131.

13131012310311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13131012310311 - 2⁹ = 13131012309799 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131012310319) 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, 444712336 + ... + 444741861.

It is an arithmetic number, because the mean of its divisors is an integer number (675985190480).

Almost surely, 2^{13131012310311} is an apocalyptic number.

13131012310311 is a deficient number, since it is larger than the sum of its proper divisors (8500513785049).

13131012310311 is a wasteful number, since it uses less digits than its factorization.

13131012310311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889454263.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 13131012310311 its reverse (11301321013131), we get a palindrome (24432333323442).

The spelling of 13131012310311 in words is "thirteen trillion, one hundred thirty-one billion, twelve million, three hundred ten thousand, three hundred eleven".