3131112110011 has 2 divisors, whose sum is σ = 3131112110012. Its totient is φ = 3131112110010.

The previous prime is 3131112109969. The next prime is 3131112110023. The reversal of 3131112110011 is 1100112111313.

It is a strong prime.

It is an emirp because it is prime and its reverse (1100112111313) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3131112110011 is a prime.

It is not a weakly prime, because it can be changed into another prime (3131112110081) 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, 1565556055005 + 1565556055006.

It is an arithmetic number, because the mean of its divisors is an integer number (1565556055006).

Almost surely, 2^{3131112110011} is an apocalyptic number.

3131112110011 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131112110011 is an equidigital number, since it uses as much as digits as its factorization.

3131112110011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 3131112110011 its reverse (1100112111313), we get a palindrome (4231224221324).

The spelling of 3131112110011 in words is "three trillion, one hundred thirty-one billion, one hundred twelve million, one hundred ten thousand, eleven".