100100413321 has 6 divisors (see below), whose sum is σ = 103433622666. Its totient is φ = 96871366800.

The previous prime is 100100413313. The next prime is 100100413331. The reversal of 100100413321 is 123314001001.

It can be written as a sum of positive squares in only one way, i.e., 100080486025 + 19927296 = 316355^2 + 4464^2 .

It is not a de Polignac number, because 100100413321 - 2³ = 100100413313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100413295 and 100100413304.

It is not an unprimeable number, because it can be changed into a prime (100100413331) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52080420 + ... + 52082341.

It is an arithmetic number, because the mean of its divisors is an integer number (17238937111).

Almost surely, 2^100100413321 is an apocalyptic number.

It is an amenable number.

100100413321 is a deficient number, since it is larger than the sum of its proper divisors (3333209345).

100100413321 is an equidigital number, since it uses as much as digits as its factorization.

100100413321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104162823 (or 104162792 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100100413321 its reverse (123314001001), we get a palindrome (223414414322).

The spelling of 100100413321 in words is "one hundred billion, one hundred million, four hundred thirteen thousand, three hundred twenty-one".