133110311013 has 20 divisors (see below), whose sum is σ = 198982731948. Its totient is φ = 88678203840.

The previous prime is 133110310997. The next prime is 133110311027. The reversal of 133110311013 is 310113011331.

133110311013 is a `hidden beast` number, since 1 + 331 + 10 + 311 + 0 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109651712769 + 23458598244 = 331137^2 + 153162^2 .

It is not a de Polignac number, because 133110311013 - 2⁴ = 133110310997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133110311063) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 457318 + ... + 689463.

Almost surely, 2^133110311013 is an apocalyptic number.

It is an amenable number.

133110311013 is a deficient number, since it is larger than the sum of its proper divisors (65872420935).

133110311013 is a wasteful number, since it uses less digits than its factorization.

133110311013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148226 (or 1148217 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 133110311013 its reverse (310113011331), we get a palindrome (443223322344).

The spelling of 133110311013 in words is "one hundred thirty-three billion, one hundred ten million, three hundred eleven thousand, thirteen".