231201133112133 has 96 divisors (see below), whose sum is σ = 359773083371520. Its totient is φ = 148263296520960.

The previous prime is 231201133112129. The next prime is 231201133112153. The reversal of 231201133112133 is 331211331102132.

231201133112133 is a `hidden beast` number, since 2 + 3 + 1 + 20 + 113 + 311 + 213 + 3 = 666.

It is not a de Polignac number, because 231201133112133 - 2² = 231201133112129 is a prime.

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 = 231201133112097 and 231201133112106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231201133112153) 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 95 ways as a sum of consecutive naturals, for example, 3073342066 + ... + 3073417292.

It is an arithmetic number, because the mean of its divisors is an integer number (3747636285120).

Almost surely, 2^{231201133112133} is an apocalyptic number.

It is an amenable number.

231201133112133 is a deficient number, since it is larger than the sum of its proper divisors (128571950259387).

231201133112133 is an equidigital number, since it uses as much as digits as its factorization.

231201133112133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79909 (or 79897 counting only the distinct ones).

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

Adding to 231201133112133 its reverse (331211331102132), we get a palindrome (562412464214265).

The spelling of 231201133112133 in words is "two hundred thirty-one trillion, two hundred one billion, one hundred thirty-three million, one hundred twelve thousand, one hundred thirty-three".