320113233121131 has 32 divisors (see below), whose sum is σ = 474520523865600. Its totient is φ = 213283416846240.

The previous prime is 320113233121069. The next prime is 320113233121133. The reversal of 320113233121131 is 131121332311023.

320113233121131 is a `hidden beast` number, since 3 + 2 + 0 + 11 + 323 + 312 + 1 + 13 + 1 = 666.

It is not a de Polignac number, because 320113233121131 - 2¹¹ = 320113233119083 is a prime.

It is a super-2 number, since 2×320113233121131² (a number of 30 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 = 320113233121095 and 320113233121104.

It is not an unprimeable number, because it can be changed into a prime (320113233121133) 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 31 ways as a sum of consecutive naturals, for example, 1605628905 + ... + 1605828261.

It is an arithmetic number, because the mean of its divisors is an integer number (14828766370800).

Almost surely, 2^{320113233121131} is an apocalyptic number.

320113233121131 is a deficient number, since it is larger than the sum of its proper divisors (154407290744469).

320113233121131 is a wasteful number, since it uses less digits than its factorization.

320113233121131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234016 (or 234010 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 320113233121131 its reverse (131121332311023), we get a palindrome (451234565432154).

The spelling of 320113233121131 in words is "three hundred twenty trillion, one hundred thirteen billion, two hundred thirty-three million, one hundred twenty-one thousand, one hundred thirty-one".