320313313021131 has 12 divisors (see below), whose sum is σ = 462675222405552. Its totient is φ = 213542007020496.

The previous prime is 320313313021099. The next prime is 320313313021151. The reversal of 320313313021131 is 131120313313023.

320313313021131 is a `hidden beast` number, since 3 + 2 + 0 + 313 + 3 + 1 + 302 + 11 + 31 = 666.

It is not a de Polignac number, because 320313313021131 - 2⁵ = 320313313021099 is a prime.

It is a super-2 number, since 2×320313313021131² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320313313021095 and 320313313021104.

It is not an unprimeable number, because it can be changed into a prime (320313313021151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6406636 + ... + 26108841.

It is an arithmetic number, because the mean of its divisors is an integer number (38556268533796).

Almost surely, 2^{320313313021131} is an apocalyptic number.

320313313021131 is a deficient number, since it is larger than the sum of its proper divisors (142361909384421).

320313313021131 is a wasteful number, since it uses less digits than its factorization.

320313313021131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33610050 (or 33610047 counting only the distinct ones).

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

Adding to 320313313021131 its reverse (131120313313023), we get a palindrome (451433626334154).

The spelling of 320313313021131 in words is "three hundred twenty trillion, three hundred thirteen billion, three hundred thirteen million, twenty-one thousand, one hundred thirty-one".