3131310110011 has 2 divisors, whose sum is σ = 3131310110012. Its totient is φ = 3131310110010.

The previous prime is 3131310110009. The next prime is 3131310110023. The reversal of 3131310110011 is 1100110131313.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 3131310110011 - 2¹ = 3131310110009 is a prime.

Together with 3131310110009, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3131310110311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565655055005 + 1565655055006.

It is an arithmetic number, because the mean of its divisors is an integer number (1565655055006).

Almost surely, 2^{3131310110011} is an apocalyptic number.

3131310110011 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131310110011 is an equidigital number, since it uses as much as digits as its factorization.

3131310110011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 3131310110011 its reverse (1100110131313), we get a palindrome (4231420241324).

The spelling of 3131310110011 in words is "three trillion, one hundred thirty-one billion, three hundred ten million, one hundred ten thousand, eleven".