1311312011331 has 24 divisors (see below), whose sum is σ = 2140917574080. Its totient is φ = 709883192592.

The previous prime is 1311312011309. The next prime is 1311312011357. The reversal of 1311312011331 is 1331102131131.

It is not a de Polignac number, because 1311312011331 - 2⁵ = 1311312011299 is a prime.

It is a super-3 number, since 3×1311312011331³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1311312011298 and 1311312011307.

It is not an unprimeable number, because it can be changed into a prime (1311312011381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234746941 + ... + 234752526.

It is an arithmetic number, because the mean of its divisors is an integer number (89204898920).

Almost surely, 2^{1311312011331} is an apocalyptic number.

1311312011331 is a deficient number, since it is larger than the sum of its proper divisors (829605562749).

1311312011331 is a wasteful number, since it uses less digits than its factorization.

1311312011331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469499503 (or 469499496 counting only the distinct ones).

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

Adding to 1311312011331 its reverse (1331102131131), we get a palindrome (2642414142462).

The spelling of 1311312011331 in words is "one trillion, three hundred eleven billion, three hundred twelve million, eleven thousand, three hundred thirty-one".