133233132300331 has 32 divisors (see below), whose sum is σ = 159624414867456. Its totient is φ = 108812035584000.

The previous prime is 133233132300293. The next prime is 133233132300337. The reversal of 133233132300331 is 133003231332331.

It is a de Polignac number, because none of the positive numbers 2^k-133233132300331 is a prime.

It is a super-3 number, since 3×133233132300331³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 133233132300293 and 133233132300302.

It is not an unprimeable number, because it can be changed into a prime (133233132300337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118295691 + ... + 119416651.

It is an arithmetic number, because the mean of its divisors is an integer number (4988262964608).

Almost surely, 2^{133233132300331} is an apocalyptic number.

133233132300331 is a deficient number, since it is larger than the sum of its proper divisors (26391282567125).

133233132300331 is a wasteful number, since it uses less digits than its factorization.

133233132300331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130683.

The product of its (nonzero) digits is 26244, while the sum is 31.

Adding to 133233132300331 its reverse (133003231332331), we get a palindrome (266236363632662).

The spelling of 133233132300331 in words is "one hundred thirty-three trillion, two hundred thirty-three billion, one hundred thirty-two million, three hundred thousand, three hundred thirty-one".