100413012333431 has 8 divisors (see below), whose sum is σ = 117556697366304. Its totient is φ = 83969069546880.

The previous prime is 100413012333409. The next prime is 100413012333509. The reversal of 100413012333431 is 134333210314001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100413012333431 - 2³⁴ = 100395832464247 is a prime.

It is a super-2 number, since 2×100413012333431² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100413012333394 and 100413012333403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100413012333631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174935561270 + ... + 174935561843.

It is an arithmetic number, because the mean of its divisors is an integer number (14694587170788).

Almost surely, 2^{100413012333431} is an apocalyptic number.

100413012333431 is a deficient number, since it is larger than the sum of its proper divisors (17143685032873).

100413012333431 is an equidigital number, since it uses as much as digits as its factorization.

100413012333431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349871123161.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 100413012333431 its reverse (134333210314001), we get a palindrome (234746222647432).

The spelling of 100413012333431 in words is "one hundred trillion, four hundred thirteen billion, twelve million, three hundred thirty-three thousand, four hundred thirty-one".