133110111020013 has 24 divisors (see below), whose sum is σ = 205482788229888. Its totient is φ = 82739508250752.

The previous prime is 133110111019993. The next prime is 133110111020063. The reversal of 133110111020013 is 310020111011331.

133110111020013 is a `hidden beast` number, since 1 + 331 + 10 + 1 + 110 + 200 + 13 = 666.

It is not a de Polignac number, because 133110111020013 - 2¹⁴ = 133110111003629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133110111020063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4065407581 + ... + 4065440322.

It is an arithmetic number, because the mean of its divisors is an integer number (8561782842912).

Almost surely, 2^{133110111020013} is an apocalyptic number.

It is an amenable number.

133110111020013 is a deficient number, since it is larger than the sum of its proper divisors (72372677209875).

133110111020013 is a wasteful number, since it uses less digits than its factorization.

133110111020013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8130848033 (or 8130848030 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 133110111020013 its reverse (310020111011331), we get a palindrome (443130222031344).

The spelling of 133110111020013 in words is "one hundred thirty-three trillion, one hundred ten billion, one hundred eleven million, twenty thousand, thirteen".