100431263041 has 16 divisors (see below), whose sum is σ = 104056697808. Its totient is φ = 96864768000.

The previous prime is 100431263033. The next prime is 100431263059. The reversal of 100431263041 is 140362134001.

It can be written as a sum of positive squares in 8 ways, for example, as 9290068225 + 91141194816 = 96385^2 + 301896^2 .

It is a cyclic number.

It is not a de Polignac number, because 100431263041 - 2³ = 100431263033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100431262997 and 100431263015.

It is not an unprimeable number, because it can be changed into a prime (100431233041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2768875 + ... + 2804911.

It is an arithmetic number, because the mean of its divisors is an integer number (6503543613).

Almost surely, 2^100431263041 is an apocalyptic number.

It is an amenable number.

100431263041 is a deficient number, since it is larger than the sum of its proper divisors (3625434767).

100431263041 is a wasteful number, since it uses less digits than its factorization.

100431263041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36852.

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

Adding to 100431263041 its reverse (140362134001), we get a palindrome (240793397042).

The spelling of 100431263041 in words is "one hundred billion, four hundred thirty-one million, two hundred sixty-three thousand, forty-one".