12313131033353 has 2 divisors, whose sum is σ = 12313131033354. Its totient is φ = 12313131033352.

The previous prime is 12313131033253. The next prime is 12313131033383. The reversal of 12313131033353 is 35333013131321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11285924459209 + 1027206574144 = 3359453^2 + 1013512^2 .

It is a cyclic number.

It is not a de Polignac number, because 12313131033353 - 2¹⁶ = 12313130967817 is a prime.

It is a super-2 number, since 2×12313131033353² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12313131033383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6156565516676 + 6156565516677.

It is an arithmetic number, because the mean of its divisors is an integer number (6156565516677).

Almost surely, 2^{12313131033353} is an apocalyptic number.

It is an amenable number.

12313131033353 is a deficient number, since it is larger than the sum of its proper divisors (1).

12313131033353 is an equidigital number, since it uses as much as digits as its factorization.

12313131033353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21870, while the sum is 32.

Adding to 12313131033353 its reverse (35333013131321), we get a palindrome (47646144164674).

The spelling of 12313131033353 in words is "twelve trillion, three hundred thirteen billion, one hundred thirty-one million, thirty-three thousand, three hundred fifty-three".