331412214133 has 16 divisors (see below), whose sum is σ = 444973044096. Its totient is φ = 238378415040.

The previous prime is 331412214101. The next prime is 331412214157.

331412214133 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 331412214133 - 2⁵ = 331412214101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331412244133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165539566 + ... + 165541567.

It is an arithmetic number, because the mean of its divisors is an integer number (27810815256).

Almost surely, 2^331412214133 is an apocalyptic number.

It is an amenable number.

331412214133 is a deficient number, since it is larger than the sum of its proper divisors (113560829963).

331412214133 is a wasteful number, since it uses less digits than its factorization.

331412214133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331081164.

The product of its digits is 5184, while the sum is 28.

It can be divided in two parts, 331412 and 214133, that added together give a palindrome (545545).

The spelling of 331412214133 in words is "three hundred thirty-one billion, four hundred twelve million, two hundred fourteen thousand, one hundred thirty-three".