1313231123331 has 128 divisors (see below), whose sum is σ = 2168756428800. Its totient is φ = 782841024000.

The previous prime is 1313231123261. The next prime is 1313231123381. The reversal of 1313231123331 is 1333211323131.

1313231123331 is a `hidden beast` number, since 1 + 3 + 1 + 323 + 1 + 1 + 2 + 3 + 331 = 666.

It is not a de Polignac number, because 1313231123331 - 2²³ = 1313222734723 is a prime.

It is a super-2 number, since 2×1313231123331² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1313231123295 and 1313231123304.

It is not an unprimeable number, because it can be changed into a prime (1313231123381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54772176 + ... + 54796146.

It is an arithmetic number, because the mean of its divisors is an integer number (16943409600).

Almost surely, 2^{1313231123331} is an apocalyptic number.

1313231123331 is a deficient number, since it is larger than the sum of its proper divisors (855525305469).

1313231123331 is a wasteful number, since it uses less digits than its factorization.

1313231123331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24138 (or 24132 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

Adding to 1313231123331 its reverse (1333211323131), we get a palindrome (2646442446462).

The spelling of 1313231123331 in words is "one trillion, three hundred thirteen billion, two hundred thirty-one million, one hundred twenty-three thousand, three hundred thirty-one".