101133332023113 has 48 divisors (see below), whose sum is σ = 163727306688000. Its totient is φ = 61664924797632.

The previous prime is 101133332023033. The next prime is 101133332023147. The reversal of 101133332023113 is 311320233331101.

101133332023113 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 333 + 320 + 2 + 3 + 1 + 1 + 3 = 666.

It is not a de Polignac number, because 101133332023113 - 2¹³ = 101133332014921 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (101133332023183) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101171353 + ... + 102166086.

It is an arithmetic number, because the mean of its divisors is an integer number (3410985556000).

Almost surely, 2^{101133332023113} is an apocalyptic number.

101133332023113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101133332023113 is a deficient number, since it is larger than the sum of its proper divisors (62593974664887).

101133332023113 is a wasteful number, since it uses less digits than its factorization.

101133332023113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203337583 (or 203337564 counting only the distinct ones).

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

Adding to 101133332023113 its reverse (311320233331101), we get a palindrome (412453565354214).

The spelling of 101133332023113 in words is "one hundred one trillion, one hundred thirty-three billion, three hundred thirty-two million, twenty-three thousand, one hundred thirteen".