21100031120113 has 32 divisors (see below), whose sum is σ = 23840388633600. Its totient is φ = 18512410593600.

The previous prime is 21100031120099. The next prime is 21100031120153. The reversal of 21100031120113 is 31102113000112.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-21100031120113 is a prime.

It is a super-2 number, since 2×21100031120113² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21100031120153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5572578 + ... + 8558836.

It is an arithmetic number, because the mean of its divisors is an integer number (745012144800).

Almost surely, 2^{21100031120113} is an apocalyptic number.

It is an amenable number.

21100031120113 is a deficient number, since it is larger than the sum of its proper divisors (2740357513487).

21100031120113 is a wasteful number, since it uses less digits than its factorization.

21100031120113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986533.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 21100031120113 its reverse (31102113000112), we get a palindrome (52202144120225).

The spelling of 21100031120113 in words is "twenty-one trillion, one hundred billion, thirty-one million, one hundred twenty thousand, one hundred thirteen".