3131310110009 has 2 divisors, whose sum is σ = 3131310110010. Its totient is φ = 3131310110008.

The previous prime is 3131310109951. The next prime is 3131310110011. The reversal of 3131310110009 is 9000110131313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2728618333609 + 402691776400 = 1651853^2 + 634580^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131310110009 - 2³⁶ = 3062590633273 is a prime.

Together with 3131310110011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (3131310110029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565655055004 + 1565655055005.

It is an arithmetic number, because the mean of its divisors is an integer number (1565655055005).

Almost surely, 2^{3131310110009} is an apocalyptic number.

It is an amenable number.

3131310110009 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131310110009 is an equidigital number, since it uses as much as digits as its factorization.

3131310110009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 23.

The spelling of 3131310110009 in words is "three trillion, one hundred thirty-one billion, three hundred ten million, one hundred ten thousand, nine".