100430441133309 has 96 divisors (see below), whose sum is σ = 169851433816064. Its totient is φ = 55986200161920.

The previous prime is 100430441133289. The next prime is 100430441133349. The reversal of 100430441133309 is 903331144034001.

100430441133309 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 304 + 4 + 1 + 13 + 330 + 9 = 666.

It is not a de Polignac number, because 100430441133309 - 2⁸ = 100430441133053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100430441133349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11728413462 + ... + 11728422024.

Almost surely, 2^{100430441133309} is an apocalyptic number.

It is an amenable number.

100430441133309 is a deficient number, since it is larger than the sum of its proper divisors (69420992682755).

100430441133309 is a wasteful number, since it uses less digits than its factorization.

100430441133309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13367 (or 13364 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 100430441133309 in words is "one hundred trillion, four hundred thirty billion, four hundred forty-one million, one hundred thirty-three thousand, three hundred nine".