31310013001 has 2 divisors, whose sum is σ = 31310013002. Its totient is φ = 31310013000.

The previous prime is 31310012959. The next prime is 31310013019. The reversal of 31310013001 is 10031001313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28501542976 + 2808470025 = 168824^2 + 52995^2 .

It is a cyclic number.

It is not a de Polignac number, because 31310013001 - 2⁷ = 31310012873 is a prime.

It is not a weakly prime, because it can be changed into another prime (31310913001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15655006500 + 15655006501.

It is an arithmetic number, because the mean of its divisors is an integer number (15655006501).

Almost surely, 2^31310013001 is an apocalyptic number.

It is an amenable number.

31310013001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31310013001 is an equidigital number, since it uses as much as digits as its factorization.

31310013001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 31310013001 its reverse (10031001313), we get a palindrome (41341014314).

The spelling of 31310013001 in words is "thirty-one billion, three hundred ten million, thirteen thousand, one".