31013213112257 has 2 divisors, whose sum is σ = 31013213112258. Its totient is φ = 31013213112256.

The previous prime is 31013213112221. The next prime is 31013213112307. The reversal of 31013213112257 is 75221131231013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24246160073521 + 6767053038736 = 4924039^2 + 2601356^2 .

It is a cyclic number.

It is not a de Polignac number, because 31013213112257 - 2¹² = 31013213108161 is a prime.

It is a super-3 number, since 3×31013213112257³ (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (31013218112257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15506606556128 + 15506606556129.

It is an arithmetic number, because the mean of its divisors is an integer number (15506606556129).

Almost surely, 2^{31013213112257} is an apocalyptic number.

It is an amenable number.

31013213112257 is a deficient number, since it is larger than the sum of its proper divisors (1).

31013213112257 is an equidigital number, since it uses as much as digits as its factorization.

31013213112257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 31013213112257 in words is "thirty-one trillion, thirteen billion, two hundred thirteen million, one hundred twelve thousand, two hundred fifty-seven".