1323231131313 has 128 divisors (see below), whose sum is σ = 2479317478400. Its totient is φ = 678726107136.

The previous prime is 1323231131281. The next prime is 1323231131323. The reversal of 1323231131313 is 3131311323231.

1323231131313 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 2 + 311 + 31 + 313 = 666.

It is not a de Polignac number, because 1323231131313 - 2⁵ = 1323231131281 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1323231131323) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 244451595 + ... + 244457007.

It is an arithmetic number, because the mean of its divisors is an integer number (19369667800).

Almost surely, 2^{1323231131313} is an apocalyptic number.

1323231131313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1323231131313 is a deficient number, since it is larger than the sum of its proper divisors (1156086347087).

1323231131313 is a wasteful number, since it uses less digits than its factorization.

1323231131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8168 (or 8162 counting only the distinct ones).

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

Adding to 1323231131313 its reverse (3131311323231), we get a palindrome (4454542454544).

The spelling of 1323231131313 in words is "one trillion, three hundred twenty-three billion, two hundred thirty-one million, one hundred thirty-one thousand, three hundred thirteen".