133112322122013 has 32 divisors (see below), whose sum is σ = 212378896598400. Its totient is φ = 81912975902208.

The previous prime is 133112322122011. The next prime is 133112322122063. The reversal of 133112322122013 is 310221223211331.

133112322122013 is a `hidden beast` number, since 1 + 3 + 3 + 11 + 232 + 212 + 201 + 3 = 666.

It is not a de Polignac number, because 133112322122013 - 2¹ = 133112322122011 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133112322122011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7242733 + ... + 17851661.

It is an arithmetic number, because the mean of its divisors is an integer number (6636840518700).

Almost surely, 2^{133112322122013} is an apocalyptic number.

133112322122013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133112322122013 is a deficient number, since it is larger than the sum of its proper divisors (79266574476387).

133112322122013 is a wasteful number, since it uses less digits than its factorization.

133112322122013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10644698 (or 10644692 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 133112322122013 its reverse (310221223211331), we get a palindrome (443333545333344).

The spelling of 133112322122013 in words is "one hundred thirty-three trillion, one hundred twelve billion, three hundred twenty-two million, one hundred twenty-two thousand, thirteen".