31013212132013 has 2 divisors, whose sum is σ = 31013212132014. Its totient is φ = 31013212132012.

The previous prime is 31013212131997. The next prime is 31013212132057. The reversal of 31013212132013 is 31023121231013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25699647748324 + 5313564383689 = 5069482^2 + 2305117^2 .

It is an emirp because it is prime and its reverse (31023121231013) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31013212132013 - 2⁴ = 31013212131997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31013212132013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31013212132213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15506606066006 + 15506606066007.

It is an arithmetic number, because the mean of its divisors is an integer number (15506606066007).

Almost surely, 2^{31013212132013} is an apocalyptic number.

It is an amenable number.

31013212132013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31013212132013 is an equidigital number, since it uses as much as digits as its factorization.

31013212132013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 31013212132013 its reverse (31023121231013), we get a palindrome (62036333363026).

The spelling of 31013212132013 in words is "thirty-one trillion, thirteen billion, two hundred twelve million, one hundred thirty-two thousand, thirteen".