31331013013 has 2 divisors, whose sum is σ = 31331013014. Its totient is φ = 31331013012.

The previous prime is 31331012981. The next prime is 31331013029. The reversal of 31331013013 is 31031013313.

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., 31142719729 + 188293284 = 176473^2 + 13722^2 .

It is a cyclic number.

It is not a de Polignac number, because 31331013013 - 2⁵ = 31331012981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31331013113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15665506506 + 15665506507.

It is an arithmetic number, because the mean of its divisors is an integer number (15665506507).

Almost surely, 2^31331013013 is an apocalyptic number.

It is an amenable number.

31331013013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31331013013 is an equidigital number, since it uses as much as digits as its factorization.

31331013013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 31331013013 its reverse (31031013313), we get a palindrome (62362026326).

The spelling of 31331013013 in words is "thirty-one billion, three hundred thirty-one million, thirteen thousand, thirteen".