1311022201131 has 48 divisors (see below), whose sum is σ = 1960205832000. Its totient is φ = 843704826624.

The previous prime is 1311022201123. The next prime is 1311022201147.

1311022201131 is a `hidden beast` number, since 1 + 311 + 0 + 2 + 220 + 1 + 131 = 666.

1311022201131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1311022201131 - 2³ = 1311022201123 is a prime.

It is a super-2 number, since 2×1311022201131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1311022201121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43995385 + ... + 44025173.

It is an arithmetic number, because the mean of its divisors is an integer number (40837621500).

Almost surely, 2^{1311022201131} is an apocalyptic number.

1311022201131 is a deficient number, since it is larger than the sum of its proper divisors (649183630869).

1311022201131 is a wasteful number, since it uses less digits than its factorization.

1311022201131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30868 (or 30865 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 1311022201131 in words is "one trillion, three hundred eleven billion, twenty-two million, two hundred one thousand, one hundred thirty-one".