33131000012057 has 2 divisors, whose sum is σ = 33131000012058. Its totient is φ = 33131000012056.

The previous prime is 33131000012023. The next prime is 33131000012137. The reversal of 33131000012057 is 75021000013133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32634667080976 + 496332931081 = 5712676^2 + 704509^2 .

It is a cyclic number.

It is not a de Polignac number, because 33131000012057 - 2²⁶ = 33130932903193 is a prime.

It is not a weakly prime, because it can be changed into another prime (33131000042057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16565500006028 + 16565500006029.

It is an arithmetic number, because the mean of its divisors is an integer number (16565500006029).

Almost surely, 2^{33131000012057} is an apocalyptic number.

It is an amenable number.

33131000012057 is a deficient number, since it is larger than the sum of its proper divisors (1).

33131000012057 is an equidigital number, since it uses as much as digits as its factorization.

33131000012057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1890, while the sum is 26.

The spelling of 33131000012057 in words is "thirty-three trillion, one hundred thirty-one billion, twelve thousand, fifty-seven".