31312231011013 has 2 divisors, whose sum is σ = 31312231011014. Its totient is φ = 31312231011012.

The previous prime is 31312231010989. The next prime is 31312231011053. The reversal of 31312231011013 is 31011013221313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21276881359969 + 10035349651044 = 4612687^2 + 3167862^2 .

It is a cyclic number.

It is not a de Polignac number, because 31312231011013 - 2⁴¹ = 29113207755461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31312231011053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15656115505506 + 15656115505507.

It is an arithmetic number, because the mean of its divisors is an integer number (15656115505507).

Almost surely, 2^{31312231011013} is an apocalyptic number.

It is an amenable number.

31312231011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31312231011013 is an equidigital number, since it uses as much as digits as its factorization.

31312231011013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 31312231011013 its reverse (31011013221313), we get a palindrome (62323244232326).

The spelling of 31312231011013 in words is "thirty-one trillion, three hundred twelve billion, two hundred thirty-one million, eleven thousand, thirteen".