100413244431 has 8 divisors (see below), whose sum is σ = 148760362160. Its totient is φ = 66942162936.

The previous prime is 100413244411. The next prime is 100413244469. The reversal of 100413244431 is 134442314001.

100413244431 is a `hidden beast` number, since 1 + 0 + 0 + 413 + 244 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 100413244431 - 2¹⁸ = 100412982287 is a prime.

It is a super-2 number, since 2×100413244431² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3719009053 = 100413244431 / (1 + 0 + 0 + 4 + 1 + 3 + 2 + 4 + 4 + 4 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100413244395 and 100413244404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100413244411) 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, 1859504500 + ... + 1859504553.

It is an arithmetic number, because the mean of its divisors is an integer number (18595045270).

Almost surely, 2^100413244431 is an apocalyptic number.

100413244431 is a deficient number, since it is larger than the sum of its proper divisors (48347117729).

100413244431 is an equidigital number, since it uses as much as digits as its factorization.

100413244431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719009062 (or 3719009056 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 100413244431 its reverse (134442314001), we get a palindrome (234855558432).

The spelling of 100413244431 in words is "one hundred billion, four hundred thirteen million, two hundred forty-four thousand, four hundred thirty-one".