3131131301311 has 32 divisors (see below), whose sum is σ = 3425991912000. Its totient is φ = 2844175638528.

The previous prime is 3131131301251. The next prime is 3131131301357. The reversal of 3131131301311 is 1131031311313.

It is a cyclic number.

It is not a de Polignac number, because 3131131301311 - 2¹³ = 3131131293119 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131131308311) 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 in 31 ways as a sum of consecutive naturals, for example, 975732675 + ... + 975735883.

It is an arithmetic number, because the mean of its divisors is an integer number (107062247250).

Almost surely, 2^{3131131301311} is an apocalyptic number.

3131131301311 is a deficient number, since it is larger than the sum of its proper divisors (294860610689).

3131131301311 is a wasteful number, since it uses less digits than its factorization.

3131131301311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5323.

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 3131131301311 its reverse (1131031311313), we get a palindrome (4262162612624).

The spelling of 3131131301311 in words is "three trillion, one hundred thirty-one billion, one hundred thirty-one million, three hundred one thousand, three hundred eleven".