111013001310000 has 200 divisors, whose sum is σ = 358943771475520. Its totient is φ = 29555637408000.

The previous prime is 111013001309953. The next prime is 111013001310017. The reversal of 111013001310000 is 13100310111.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×111013001310000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15580959 + ... + 21559041.

Almost surely, 2^{111013001310000} is an apocalyptic number.

111013001310000 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 111013001310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179471885737760).

111013001310000 is an abundant number, since it is smaller than the sum of its proper divisors (247930770165520).

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

111013001310000 is an equidigital number, since it uses as much as digits as its factorization.

111013001310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5978733 (or 5978712 counting only the distinct ones).

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

Adding to 111013001310000 its reverse (13100310111), we get a palindrome (111026101620111).

The spelling of 111013001310000 in words is "one hundred eleven trillion, thirteen billion, one million, three hundred ten thousand".