31513100131513 has 32 divisors (see below), whose sum is σ = 42315313582080. Its totient is φ = 22664612669760.

The previous prime is 31513100131451. The next prime is 31513100131543.

31513100131513 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31513100131513 - 2¹⁷ = 31513100000441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31513100131543) 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, 9087948 + ... + 12067186.

It is an arithmetic number, because the mean of its divisors is an integer number (1322353549440).

Almost surely, 2^{31513100131513} is an apocalyptic number.

It is an amenable number.

31513100131513 is a deficient number, since it is larger than the sum of its proper divisors (10802213450567).

31513100131513 is a wasteful number, since it uses less digits than its factorization.

31513100131513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989837.

The product of its (nonzero) digits is 2025, while the sum is 28.

It can be divided in two parts, 31513100 and 131513, that added together give a palindrome (31644613).

The spelling of 31513100131513 in words is "thirty-one trillion, five hundred thirteen billion, one hundred million, one hundred thirty-one thousand, five hundred thirteen".