100001233319 has 8 divisors (see below), whose sum is σ = 109725592032. Its totient is φ = 90567154080.

The previous prime is 100001233243. The next prime is 100001233351. The reversal of 100001233319 is 913332100001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100001233319 - 2²⁸ = 99732797863 is a prime.

It is a super-2 number, since 2×100001233319² (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 = 100001233294 and 100001233303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001233379) 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 7 ways as a sum of consecutive naturals, for example, 72569147 + ... + 72570524.

It is an arithmetic number, because the mean of its divisors is an integer number (13715699004).

Almost surely, 2^100001233319 is an apocalyptic number.

100001233319 is a deficient number, since it is larger than the sum of its proper divisors (9724358713).

100001233319 is a wasteful number, since it uses less digits than its factorization.

100001233319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145139737.

The product of its (nonzero) digits is 486, while the sum is 23.

The spelling of 100001233319 in words is "one hundred billion, one million, two hundred thirty-three thousand, three hundred nineteen".