13000110192 has 120 divisors (see below), whose sum is σ = 37279756800. Its totient is φ = 4226753664.

The previous prime is 13000110133. The next prime is 13000110223. The reversal of 13000110192 is 29101100031.

13000110192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13000110192³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8909559 + ... + 8911017.

It is an arithmetic number, because the mean of its divisors is an integer number (310664640).

Almost surely, 2^13000110192 is an apocalyptic number.

13000110192 is a gapful number since it is divisible by the number (12) 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 13000110192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18639878400).

13000110192 is an abundant number, since it is smaller than the sum of its proper divisors (24279646608).

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

13000110192 is a wasteful number, since it uses less digits than its factorization.

13000110192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The spelling of 13000110192 in words is "thirteen billion, one hundred ten thousand, one hundred ninety-two".