11100113000 has 32 divisors (see below), whose sum is σ = 25974266760. Its totient is φ = 4440044800.

The previous prime is 11100112979. The next prime is 11100113021. The reversal of 11100113000 is 31100111.

It is an interprime number because it is at equal distance from previous prime (11100112979) and next prime (11100113021).

It can be written as a sum of positive squares in 4 ways, for example, as 885776644 + 10214336356 = 29762^2 + 101066^2 .

It is a super-2 number, since 2×11100113000² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5549057 + ... + 5551056.

Almost surely, 2^11100113000 is an apocalyptic number.

11100113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100113000 is an abundant number, since it is smaller than the sum of its proper divisors (14874153760).

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

11100113000 is a wasteful number, since it uses less digits than its factorization.

11100113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100134 (or 11100120 counting only the distinct ones).

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

Adding to 11100113000 its reverse (31100111), we get a palindrome (11131213111).

The spelling of 11100113000 in words is "eleven billion, one hundred million, one hundred thirteen thousand".