100100131332113 has 8 divisors (see below), whose sum is σ = 109202639628576. Its totient is φ = 90998039095200.

The previous prime is 100100131332107. The next prime is 100100131332167. The reversal of 100100131332113 is 311233131001001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100100131332113 - 2²² = 100100127137809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100130332113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103511723 + ... + 104474288.

It is an arithmetic number, because the mean of its divisors is an integer number (13650329953572).

Almost surely, 2^{100100131332113} is an apocalyptic number.

It is an amenable number.

100100131332113 is a deficient number, since it is larger than the sum of its proper divisors (9102508296463).

100100131332113 is a wasteful number, since it uses less digits than its factorization.

100100131332113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208029775.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 100100131332113 its reverse (311233131001001), we get a palindrome (411333262333114).

The spelling of 100100131332113 in words is "one hundred trillion, one hundred billion, one hundred thirty-one million, three hundred thirty-two thousand, one hundred thirteen".