1311322340331 has 48 divisors (see below), whose sum is σ = 1994298958080. Its totient is φ = 828686738880.

The previous prime is 1311322340311. The next prime is 1311322340347. The reversal of 1311322340331 is 1330432231131.

1311322340331 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 3 + 223 + 403 + 31 = 666.

It is not a de Polignac number, because 1311322340331 - 2²⁵ = 1311288785899 is a prime.

It is a super-2 number, since 2×1311322340331² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1311322340295 and 1311322340304.

It is not an unprimeable number, because it can be changed into a prime (1311322340311) 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, 20006745 + ... + 20072181.

It is an arithmetic number, because the mean of its divisors is an integer number (41547894960).

Almost surely, 2^{1311322340331} is an apocalyptic number.

1311322340331 is a deficient number, since it is larger than the sum of its proper divisors (682976617749).

1311322340331 is a wasteful number, since it uses less digits than its factorization.

1311322340331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66336 (or 66333 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 1311322340331 its reverse (1330432231131), we get a palindrome (2641754571462).

It can be divided in two parts, 1311322 and 340331, that added together give a triangular number (1651653 = T₁₈₁₇).

The spelling of 1311322340331 in words is "one trillion, three hundred eleven billion, three hundred twenty-two million, three hundred forty thousand, three hundred thirty-one".