331125521133 has 32 divisors (see below), whose sum is σ = 520688816640. Its totient is φ = 184981527360.

The previous prime is 331125521131. The next prime is 331125521137.

331125521133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331125521133 - 2¹ = 331125521131 is a prime.

It is a super-2 number, since 2×331125521133² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 331125521133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331125521131) 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, 7113435 + ... + 7159832.

It is an arithmetic number, because the mean of its divisors is an integer number (16271525520).

Almost surely, 2^331125521133 is an apocalyptic number.

331125521133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

331125521133 is a deficient number, since it is larger than the sum of its proper divisors (189563295507).

331125521133 is a wasteful number, since it uses less digits than its factorization.

331125521133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14273337.

The product of its digits is 8100, while the sum is 30.

It can be divided in two parts, 331125 and 521133, that added together give a palindrome (852258).

The spelling of 331125521133 in words is "three hundred thirty-one billion, one hundred twenty-five million, five hundred twenty-one thousand, one hundred thirty-three".