100430441133311 has 32 divisors (see below), whose sum is σ = 104583873278976. Its totient is φ = 96371272800000.

The previous prime is 100430441133289. The next prime is 100430441133349. The reversal of 100430441133311 is 113331144034001.

It is a cyclic number.

It is not a de Polignac number, because 100430441133311 - 2²⁶ = 100430374024447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100430441139311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6313592420 + ... + 6313608326.

It is an arithmetic number, because the mean of its divisors is an integer number (3268246039968).

Almost surely, 2^{100430441133311} is an apocalyptic number.

100430441133311 is a deficient number, since it is larger than the sum of its proper divisors (4153432145665).

100430441133311 is a wasteful number, since it uses less digits than its factorization.

100430441133311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26103.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 100430441133311 its reverse (113331144034001), we get a palindrome (213761585167312).

The spelling of 100430441133311 in words is "one hundred trillion, four hundred thirty billion, four hundred forty-one million, one hundred thirty-three thousand, three hundred eleven".