331779977133 has 32 divisors (see below), whose sum is σ = 495715921920. Its totient is φ = 195611088960.

The previous prime is 331779977107. The next prime is 331779977141.

331779977133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331779977133 - 2⁵ = 331779977101 is a prime.

It is a super-2 number, since 2×331779977133² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331779977153) 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 31 ways as a sum of consecutive naturals, for example, 8477416 + ... + 8516462.

It is an arithmetic number, because the mean of its divisors is an integer number (15491122560).

Almost surely, 2^331779977133 is an apocalyptic number.

331779977133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

331779977133 is a deficient number, since it is larger than the sum of its proper divisors (163935944787).

331779977133 is a wasteful number, since it uses less digits than its factorization.

331779977133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46057.

The product of its digits is 15752961, while the sum is 60.

The spelling of 331779977133 in words is "three hundred thirty-one billion, seven hundred seventy-nine million, nine hundred seventy-seven thousand, one hundred thirty-three".