11000113110 has 96 divisors (see below), whose sum is σ = 32802898752. Its totient is φ = 2505323520.

The previous prime is 11000113097. The next prime is 11000113123. The reversal of 11000113110 is 1131100011.

It is an interprime number because it is at equal distance from previous prime (11000113097) and next prime (11000113123).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11000113092 and 11000113101.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 145962 + ... + 208098.

It is an arithmetic number, because the mean of its divisors is an integer number (341696862).

Almost surely, 2^11000113110 is an apocalyptic number.

11000113110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000113110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16401449376).

11000113110 is an abundant number, since it is smaller than the sum of its proper divisors (21802785642).

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

11000113110 is a wasteful number, since it uses less digits than its factorization.

11000113110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62438 (or 62435 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 11000113110 its reverse (1131100011), we get a palindrome (12131213121).

The spelling of 11000113110 in words is "eleven billion, one hundred thirteen thousand, one hundred ten".