100411434031 has 16 divisors (see below), whose sum is σ = 107470571040. Its totient is φ = 93481390080.

The previous prime is 100411434001. The next prime is 100411434041. The reversal of 100411434031 is 130434114001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100411434031 - 2¹³ = 100411425839 is a prime.

It is a super-2 number, since 2×100411434031² (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 = 100411433993 and 100411434011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100411434001) 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, 3330816 + ... + 3360826.

It is an arithmetic number, because the mean of its divisors is an integer number (6716910690).

Almost surely, 2^100411434031 is an apocalyptic number.

100411434031 is a deficient number, since it is larger than the sum of its proper divisors (7059137009).

100411434031 is a wasteful number, since it uses less digits than its factorization.

100411434031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32154.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 100411434031 its reverse (130434114001), we get a palindrome (230845548032).

The spelling of 100411434031 in words is "one hundred billion, four hundred eleven million, four hundred thirty-four thousand, thirty-one".