110010013113000 has 1024 divisors, whose sum is σ = 467155780116480. Its totient is φ = 20811727872000.

The previous prime is 110010013112977. The next prime is 110010013113037. The reversal of 110010013113000 is 311310010011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 218968087 + ... + 219469913.

It is an arithmetic number, because the mean of its divisors is an integer number (456206816520).

Almost surely, 2^{110010013113000} is an apocalyptic number.

110010013113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110010013113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233577890058240).

110010013113000 is an abundant number, since it is smaller than the sum of its proper divisors (357145767003480).

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

110010013113000 is a wasteful number, since it uses less digits than its factorization.

110010013113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501955 (or 501941 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 110010013113000 its reverse (311310010011), we get a palindrome (110321323123011).

The spelling of 110010013113000 in words is "one hundred ten trillion, ten billion, thirteen million, one hundred thirteen thousand".