100413254241 has 12 divisors (see below), whose sum is σ = 145229011668. Its totient is φ = 66855564384.

The previous prime is 100413254239. The next prime is 100413254243. The reversal of 100413254241 is 142452314001.

100413254241 is a `hidden beast` number, since 1 + 0 + 0 + 413 + 2 + 5 + 4 + 241 = 666.

It is an interprime number because it is at equal distance from previous prime (100413254239) and next prime (100413254243).

It can be written as a sum of positive squares in 2 ways, for example, as 4852515600 + 95560738641 = 69660^2 + 309129^2 .

It is not a de Polignac number, because 100413254241 - 2¹ = 100413254239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100413254243) 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, 7209750 + ... + 7223663.

It is an arithmetic number, because the mean of its divisors is an integer number (12102417639).

Almost surely, 2^100413254241 is an apocalyptic number.

It is an amenable number.

100413254241 is a deficient number, since it is larger than the sum of its proper divisors (44815757427).

100413254241 is a wasteful number, since it uses less digits than its factorization.

100413254241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14434192 (or 14434189 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 100413254241 its reverse (142452314001), we get a palindrome (242865568242).

The spelling of 100413254241 in words is "one hundred billion, four hundred thirteen million, two hundred fifty-four thousand, two hundred forty-one".