320133123211131 has 16 divisors (see below), whose sum is σ = 479985405621120. Its totient is φ = 210850731752040.

The previous prime is 320133123211037. The next prime is 320133123211151. The reversal of 320133123211131 is 131112321331023.

320133123211131 is a `hidden beast` number, since 3 + 2 + 0 + 1 + 3 + 312 + 3 + 211 + 131 = 666.

It is not a de Polignac number, because 320133123211131 - 2¹⁸ = 320133122948987 is a prime.

It is a super-2 number, since 2×320133123211131² (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 = 320133123211095 and 320133123211104.

It is not an unprimeable number, because it can be changed into a prime (320133123211151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71426397405 + ... + 71426401886.

It is an arithmetic number, because the mean of its divisors is an integer number (29999087851320).

Almost surely, 2^{320133123211131} is an apocalyptic number.

320133123211131 is a deficient number, since it is larger than the sum of its proper divisors (159852282409989).

320133123211131 is a wasteful number, since it uses less digits than its factorization.

320133123211131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142852799383 (or 142852799377 counting only the distinct ones).

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

Adding to 320133123211131 its reverse (131112321331023), we get a palindrome (451245444542154).

The spelling of 320133123211131 in words is "three hundred twenty trillion, one hundred thirty-three billion, one hundred twenty-three million, two hundred eleven thousand, one hundred thirty-one".