31212113120113 has 2 divisors, whose sum is σ = 31212113120114. Its totient is φ = 31212113120112.

The previous prime is 31212113120081. The next prime is 31212113120207. The reversal of 31212113120113 is 31102131121213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23330522908224 + 7881590211889 = 4830168^2 + 2807417^2 .

It is a cyclic number.

It is not a de Polignac number, because 31212113120113 - 2⁵ = 31212113120081 is a prime.

It is not a weakly prime, because it can be changed into another prime (31212113126113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15606056560056 + 15606056560057.

It is an arithmetic number, because the mean of its divisors is an integer number (15606056560057).

Almost surely, 2^{31212113120113} is an apocalyptic number.

It is an amenable number.

31212113120113 is a deficient number, since it is larger than the sum of its proper divisors (1).

31212113120113 is an equidigital number, since it uses as much as digits as its factorization.

31212113120113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 31212113120113 its reverse (31102131121213), we get a palindrome (62314244241326).

The spelling of 31212113120113 in words is "thirty-one trillion, two hundred twelve billion, one hundred thirteen million, one hundred twenty thousand, one hundred thirteen".