3131131007 has 2 divisors, whose sum is σ = 3131131008. Its totient is φ = 3131131006.

The previous prime is 3131131001. The next prime is 3131131039. The reversal of 3131131007 is 7001311313.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 3131131007 - 2⁴ = 3131130991 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3131131007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3131131001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565565503 + 1565565504.

It is an arithmetic number, because the mean of its divisors is an integer number (1565565504).

Almost surely, 2^3131131007 is an apocalyptic number.

3131131007 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131131007 is an equidigital number, since it uses as much as digits as its factorization.

3131131007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 20.

The square root of 3131131007 is about 55956.5099608616. The cubic root of 3131131007 is about 1462.9643604172.

The spelling of 3131131007 in words is "three billion, one hundred thirty-one million, one hundred thirty-one thousand, seven".