110013013120 has 64 divisors (see below), whose sum is σ = 263203084800. Its totient is φ = 43971202048.

The previous prime is 110013013111. The next prime is 110013013141. The reversal of 110013013120 is 21310310011.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 110013013120.

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, 770721 + ... + 902239.

It is an arithmetic number, because the mean of its divisors is an integer number (4112548200).

Almost surely, 2^110013013120 is an apocalyptic number.

110013013120 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 110013013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131601542400).

110013013120 is an abundant number, since it is smaller than the sum of its proper divisors (153190071680).

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

110013013120 is a wasteful number, since it uses less digits than its factorization.

110013013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132845 (or 132833 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 110013013120 its reverse (21310310011), we get a palindrome (131323323131).

It can be divided in two parts, 11001 and 3013120, that added together give a square (3024121 = 1739²).

The spelling of 110013013120 in words is "one hundred ten billion, thirteen million, thirteen thousand, one hundred twenty".