3133131007 has 2 divisors, whose sum is σ = 3133131008. Its totient is φ = 3133131006.

The previous prime is 3133130969. The next prime is 3133131011. The reversal of 3133131007 is 7001313313.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 3133131007 - 2¹¹ = 3133128959 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3133131607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1566565503 + 1566565504.

It is an arithmetic number, because the mean of its divisors is an integer number (1566565504).

Almost surely, 2^3133131007 is an apocalyptic number.

3133131007 is a deficient number, since it is larger than the sum of its proper divisors (1).

3133131007 is an equidigital number, since it uses as much as digits as its factorization.

3133131007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 22.

The square root of 3133131007 is about 55974.3781296407. The cubic root of 3133131007 is about 1463.2757820685.

The spelling of 3133131007 in words is "three billion, one hundred thirty-three million, one hundred thirty-one thousand, seven".