100011113000 has 32 divisors (see below), whose sum is σ = 234026006760. Its totient is φ = 40004444800.

The previous prime is 100011112967. The next prime is 100011113009. The reversal of 100011113000 is 311110001.

It can be written as a sum of positive squares in 4 ways, for example, as 18524843236 + 81486269764 = 136106^2 + 285458^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (100011113009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50004557 + ... + 50006556.

Almost surely, 2^100011113000 is an apocalyptic number.

100011113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011113000 is an abundant number, since it is smaller than the sum of its proper divisors (134014893760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100011113000 is a wasteful number, since it uses less digits than its factorization.

100011113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100011134 (or 100011120 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 100011113000 its reverse (311110001), we get a palindrome (100322223001).

The spelling of 100011113000 in words is "one hundred billion, eleven million, one hundred thirteen thousand".