33131100137 has 2 divisors, whose sum is σ = 33131100138. Its totient is φ = 33131100136.

The previous prime is 33131100127. The next prime is 33131100227. The reversal of 33131100137 is 73100113133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31350597721 + 1780502416 = 177061^2 + 42196^2 .

It is a cyclic number.

It is not a de Polignac number, because 33131100137 - 2³⁰ = 32057358313 is a prime.

It is not a weakly prime, because it can be changed into another prime (33131100127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16565550068 + 16565550069.

It is an arithmetic number, because the mean of its divisors is an integer number (16565550069).

Almost surely, 2^33131100137 is an apocalyptic number.

It is an amenable number.

33131100137 is a deficient number, since it is larger than the sum of its proper divisors (1).

33131100137 is an equidigital number, since it uses as much as digits as its factorization.

33131100137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 567, while the sum is 23.

The spelling of 33131100137 in words is "thirty-three billion, one hundred thirty-one million, one hundred thousand, one hundred thirty-seven".