331101223310013 has 16 divisors (see below), whose sum is σ = 475428563855616. Its totient is φ = 203754099124800.

The previous prime is 331101223309949. The next prime is 331101223310041. The reversal of 331101223310013 is 310013322101133.

It is not a de Polignac number, because 331101223310013 - 2⁶ = 331101223309949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331101223310213) 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 15 ways as a sum of consecutive naturals, for example, 6016831 + ... + 26427347.

It is an arithmetic number, because the mean of its divisors is an integer number (29714285240976).

Almost surely, 2^{331101223310013} is an apocalyptic number.

It is an amenable number.

331101223310013 is a deficient number, since it is larger than the sum of its proper divisors (144327340545603).

331101223310013 is a wasteful number, since it uses less digits than its factorization.

331101223310013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20826484.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 331101223310013 its reverse (310013322101133), we get a palindrome (641114545411146).

The spelling of 331101223310013 in words is "three hundred thirty-one trillion, one hundred one billion, two hundred twenty-three million, three hundred ten thousand, thirteen".