1331131120311 has 32 divisors (see below), whose sum is σ = 1792519787520. Its totient is φ = 878635837184.

The previous prime is 1331131120301. The next prime is 1331131120321. The reversal of 1331131120311 is 1130211311331.

It is an interprime number because it is at equal distance from previous prime (1331131120301) and next prime (1331131120321).

It is a cyclic number.

It is not a de Polignac number, because 1331131120311 - 2⁵ = 1331131120279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331131120301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106714771 + ... + 106727243.

It is an arithmetic number, because the mean of its divisors is an integer number (56016243360).

Almost surely, 2^{1331131120311} is an apocalyptic number.

1331131120311 is a deficient number, since it is larger than the sum of its proper divisors (461388667209).

1331131120311 is a wasteful number, since it uses less digits than its factorization.

1331131120311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13535.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 1331131120311 its reverse (1130211311331), we get a palindrome (2461342431642).

The spelling of 1331131120311 in words is "one trillion, three hundred thirty-one billion, one hundred thirty-one million, one hundred twenty thousand, three hundred eleven".