13331313002101 has 16 divisors (see below), whose sum is σ = 13714667366400. Its totient is φ = 12950742182400.

The previous prime is 13331313002093. The next prime is 13331313002113. The reversal of 13331313002101 is 10120031313331.

13331313002101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13331313002101 - 2³ = 13331313002093 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 (13331313002401) 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, 94184140 + ... + 94325578.

It is an arithmetic number, because the mean of its divisors is an integer number (857166710400).

Almost surely, 2^{13331313002101} is an apocalyptic number.

It is an amenable number.

13331313002101 is a deficient number, since it is larger than the sum of its proper divisors (383354364299).

13331313002101 is a wasteful number, since it uses less digits than its factorization.

13331313002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151260.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 13331313002101 its reverse (10120031313331), we get a palindrome (23451344315432).

The spelling of 13331313002101 in words is "thirteen trillion, three hundred thirty-one billion, three hundred thirteen million, two thousand, one hundred one".