13322131103133 has 16 divisors (see below), whose sum is σ = 20156415855360. Its totient is φ = 8692454335968.

The previous prime is 13322131103123. The next prime is 13322131103137. The reversal of 13322131103133 is 33130113122331.

13322131103133 is a `hidden beast` number, since 1 + 3 + 32 + 2 + 1 + 311 + 0 + 313 + 3 = 666.

It is not a de Polignac number, because 13322131103133 - 2⁵ = 13322131103101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13322131103097 and 13322131103106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13322131103137) 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, 5249065360 + ... + 5249067897.

It is an arithmetic number, because the mean of its divisors is an integer number (1259775990960).

Almost surely, 2^{13322131103133} is an apocalyptic number.

It is an amenable number.

13322131103133 is a deficient number, since it is larger than the sum of its proper divisors (6834284752227).

13322131103133 is a wasteful number, since it uses less digits than its factorization.

13322131103133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10498133313 (or 10498133307 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13322131103133 its reverse (33130113122331), we get a palindrome (46452244225464).

The spelling of 13322131103133 in words is "thirteen trillion, three hundred twenty-two billion, one hundred thirty-one million, one hundred three thousand, one hundred thirty-three".