3131133007 has 2 divisors, whose sum is σ = 3131133008. Its totient is φ = 3131133006.

The previous prime is 3131133001. The next prime is 3131133013. The reversal of 3131133007 is 7003311313.

3131133007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (3131133001) and next prime (3131133013).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3131133007 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3131133001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565566503 + 1565566504.

It is an arithmetic number, because the mean of its divisors is an integer number (1565566504).

Almost surely, 2^3131133007 is an apocalyptic number.

3131133007 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131133007 is an equidigital number, since it uses as much as digits as its factorization.

3131133007 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 3131133007 is about 55956.5278318803. The cubic root of 3131133007 is about 1462.9646719051.

The spelling of 3131133007 in words is "three billion, one hundred thirty-one million, one hundred thirty-three thousand, seven".