100431413431 has 4 divisors (see below), whose sum is σ = 100444425352. Its totient is φ = 100418401512.

The previous prime is 100431413419. The next prime is 100431413449. The reversal of 100431413431 is 134314134001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 134314134001 = 211873 ⋅633937.

It is a cyclic number.

It is not a de Polignac number, because 100431413431 - 2²⁵ = 100397858999 is a prime.

It is a super-2 number, since 2×100431413431² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100431413396 and 100431413405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100431413461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6494376 + ... + 6509821.

It is an arithmetic number, because the mean of its divisors is an integer number (25111106338).

Almost surely, 2^100431413431 is an apocalyptic number.

100431413431 is a deficient number, since it is larger than the sum of its proper divisors (13011921).

100431413431 is an equidigital number, since it uses as much as digits as its factorization.

100431413431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13011920.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 100431413431 its reverse (134314134001), we get a palindrome (234745547432).

The spelling of 100431413431 in words is "one hundred billion, four hundred thirty-one million, four hundred thirteen thousand, four hundred thirty-one".