331824428133 has 16 divisors (see below), whose sum is σ = 482667425856. Its totient is φ = 201100000640.

The previous prime is 331824428107. The next prime is 331824428189.

331824428133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331824428133 - 2⁸ = 331824427877 is a prime.

It is a super-2 number, since 2×331824428133² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331824428333) 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, 1234585 + ... + 1479137.

It is an arithmetic number, because the mean of its divisors is an integer number (30166714116).

Almost surely, 2^331824428133 is an apocalyptic number.

331824428133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

331824428133 is a deficient number, since it is larger than the sum of its proper divisors (150842997723).

331824428133 is a wasteful number, since it uses less digits than its factorization.

331824428133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285684.

The product of its digits is 331776, while the sum is 42.

It can be divided in two parts, 331824 and 428133, that added together give a palindrome (759957).

The spelling of 331824428133 in words is "three hundred thirty-one billion, eight hundred twenty-four million, four hundred twenty-eight thousand, one hundred thirty-three".