331413314133 has 64 divisors (see below), whose sum is σ = 511605964800. Its totient is φ = 188721005760.

The previous prime is 331413314069. The next prime is 331413314173.

331413314133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331413314133 - 2⁶ = 331413314069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 331413314133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331413314173) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150163516 + ... + 150165722.

It is an arithmetic number, because the mean of its divisors is an integer number (7993843200).

Almost surely, 2^331413314133 is an apocalyptic number.

331413314133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

331413314133 is a deficient number, since it is larger than the sum of its proper divisors (180192650667).

331413314133 is a wasteful number, since it uses less digits than its factorization.

331413314133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4102.

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 331413 and 314133, that added together give a palindrome (645546).

The spelling of 331413314133 in words is "three hundred thirty-one billion, four hundred thirteen million, three hundred fourteen thousand, one hundred thirty-three".