3131033137 has 2 divisors, whose sum is σ = 3131033138. Its totient is φ = 3131033136.

The previous prime is 3131033131. The next prime is 3131033159. The reversal of 3131033137 is 7313301313.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2087484721 + 1043548416 = 45689^2 + 32304^2 .

It is an emirp because it is prime and its reverse (7313301313) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3131033137 is a prime.

It is not a weakly prime, because it can be changed into another prime (3131033131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565516568 + 1565516569.

It is an arithmetic number, because the mean of its divisors is an integer number (1565516569).

Almost surely, 2^3131033137 is an apocalyptic number.

It is an amenable number.

3131033137 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131033137 is an equidigital number, since it uses as much as digits as its factorization.

3131033137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1701, while the sum is 25.

The square root of 3131033137 is about 55955.6354355841. The cubic root of 3131033137 is about 1462.9491175956.

The spelling of 3131033137 in words is "three billion, one hundred thirty-one million, thirty-three thousand, one hundred thirty-seven".