100414442113 has 12 divisors (see below), whose sum is σ = 106724405500. Its totient is φ = 94458292992.

The previous prime is 100414442099. The next prime is 100414442131. The reversal of 100414442113 is 311244414001.

It can be written as a sum of positive squares in 6 ways, for example, as 7174598209 + 93239843904 = 84703^2 + 305352^2 .

It is not a de Polignac number, because 100414442113 - 2²¹ = 100412344961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100414442813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 468763 + ... + 648511.

Almost surely, 2^100414442113 is an apocalyptic number.

It is an amenable number.

100414442113 is a deficient number, since it is larger than the sum of its proper divisors (6309963387).

100414442113 is a wasteful number, since it uses less digits than its factorization.

100414442113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181716 (or 181699 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 100414442113 its reverse (311244414001), we get a palindrome (411658856114).

The spelling of 100414442113 in words is "one hundred billion, four hundred fourteen million, four hundred forty-two thousand, one hundred thirteen".