31311012103249 has 2 divisors, whose sum is σ = 31311012103250. Its totient is φ = 31311012103248.

The previous prime is 31311012103201. The next prime is 31311012103253. The reversal of 31311012103249 is 94230121011313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30765381689025 + 545630414224 = 5546655^2 + 738668^2 .

It is a cyclic number.

It is not a de Polignac number, because 31311012103249 - 2¹⁹ = 31311011578961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31311012103249.

It is not a weakly prime, because it can be changed into another prime (31311012103289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15655506051624 + 15655506051625.

It is an arithmetic number, because the mean of its divisors is an integer number (15655506051625).

Almost surely, 2^{31311012103249} is an apocalyptic number.

It is an amenable number.

31311012103249 is a deficient number, since it is larger than the sum of its proper divisors (1).

31311012103249 is an equidigital number, since it uses as much as digits as its factorization.

31311012103249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 31311012103249 in words is "thirty-one trillion, three hundred eleven billion, twelve million, one hundred three thousand, two hundred forty-nine".