33131311012313 has 2 divisors, whose sum is σ = 33131311012314. Its totient is φ = 33131311012312.

The previous prime is 33131311012297. The next prime is 33131311012367. The reversal of 33131311012313 is 31321011313133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33120450871369 + 10860140944 = 5755037^2 + 104212^2 .

It is a cyclic number.

It is not a de Polignac number, because 33131311012313 - 2⁴ = 33131311012297 is a prime.

It is a super-2 number, since 2×33131311012313² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33131311012213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16565655506156 + 16565655506157.

It is an arithmetic number, because the mean of its divisors is an integer number (16565655506157).

Almost surely, 2^{33131311012313} is an apocalyptic number.

It is an amenable number.

33131311012313 is a deficient number, since it is larger than the sum of its proper divisors (1).

33131311012313 is an equidigital number, since it uses as much as digits as its factorization.

33131311012313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 33131311012313 its reverse (31321011313133), we get a palindrome (64452322325446).

The spelling of 33131311012313 in words is "thirty-three trillion, one hundred thirty-one billion, three hundred eleven million, twelve thousand, three hundred thirteen".