3133100137 has 2 divisors, whose sum is σ = 3133100138. Its totient is φ = 3133100136.

The previous prime is 3133100123. The next prime is 3133100149. The reversal of 3133100137 is 7310013313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3110404441 + 22695696 = 55771^2 + 4764^2 .

It is an emirp because it is prime and its reverse (7310013313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3133100137 - 2²⁷ = 2998882409 is a prime.

It is not a weakly prime, because it can be changed into another prime (3133100177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1566550068 + 1566550069.

It is an arithmetic number, because the mean of its divisors is an integer number (1566550069).

Almost surely, 2^3133100137 is an apocalyptic number.

It is an amenable number.

3133100137 is a deficient number, since it is larger than the sum of its proper divisors (1).

3133100137 is an equidigital number, since it uses as much as digits as its factorization.

3133100137 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 22.

The square root of 3133100137 is about 55974.1023777961. The cubic root of 3133100137 is about 1463.2709762824.

The spelling of 3133100137 in words is "three billion, one hundred thirty-three million, one hundred thousand, one hundred thirty-seven".