331413242314133 has 16 divisors (see below), whose sum is σ = 385075238716800. Its totient is φ = 279368310264000.

The previous prime is 331413242314127. The next prime is 331413242314169.

331413242314133 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 331413242314133 - 2⁴ = 331413242314117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331413242314433) 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, 1572914423 + ... + 1573125108.

It is an arithmetic number, because the mean of its divisors is an integer number (24067202419800).

Almost surely, 2^{331413242314133} is an apocalyptic number.

It is an amenable number.

331413242314133 is a deficient number, since it is larger than the sum of its proper divisors (53661996402667).

331413242314133 is a wasteful number, since it uses less digits than its factorization.

331413242314133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146039788.

The product of its digits is 186624, while the sum is 38.

The spelling of 331413242314133 in words is "three hundred thirty-one trillion, four hundred thirteen billion, two hundred forty-two million, three hundred fourteen thousand, one hundred thirty-three".