31025052013 has 2 divisors, whose sum is σ = 31025052014. Its totient is φ = 31025052012.

The previous prime is 31025051989. The next prime is 31025052029.

31025052013 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27976576644 + 3048475369 = 167262^2 + 55213^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31025052013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31025052043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15512526006 + 15512526007.

It is an arithmetic number, because the mean of its divisors is an integer number (15512526007).

Almost surely, 2^31025052013 is an apocalyptic number.

It is an amenable number.

31025052013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31025052013 is an equidigital number, since it uses as much as digits as its factorization.

31025052013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 22.

It can be divided in two parts, 310250 and 52013, that added together give a palindrome (362263).

The spelling of 31025052013 in words is "thirty-one billion, twenty-five million, fifty-two thousand, thirteen".