100131113321101 has 4 divisors (see below), whose sum is σ = 100131136495452. Its totient is φ = 100131090146752.

The previous prime is 100131113321087. The next prime is 100131113321111. The reversal of 100131113321101 is 101123311131001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 71782154829225 + 28348958491876 = 8472435^2 + 5324374^2 .

It is a cyclic number.

It is not a de Polignac number, because 100131113321101 - 2²⁹ = 100130576450189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131113321111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2969740 + ... + 14459653.

It is an arithmetic number, because the mean of its divisors is an integer number (25032784123863).

Almost surely, 2^{100131113321101} is an apocalyptic number.

It is an amenable number.

100131113321101 is a deficient number, since it is larger than the sum of its proper divisors (23174351).

100131113321101 is an equidigital number, since it uses as much as digits as its factorization.

100131113321101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23174350.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 100131113321101 its reverse (101123311131001), we get a palindrome (201254424452102).

The spelling of 100131113321101 in words is "one hundred trillion, one hundred thirty-one billion, one hundred thirteen million, three hundred twenty-one thousand, one hundred one".