110133130200000 has 336 divisors, whose sum is σ = 364294439913600. Its totient is φ = 29362757760000.

The previous prime is 110133130199957. The next prime is 110133130200043. The reversal of 110133130200000 is 2031331011.

It is an interprime number because it is at equal distance from previous prime (110133130199957) and next prime (110133130200043).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 3409783851 + ... + 3409816149.

It is an arithmetic number, because the mean of its divisors is an integer number (1084209642600).

Almost surely, 2^{110133130200000} is an apocalyptic number.

110133130200000 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 110133130200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182147219956800).

110133130200000 is an abundant number, since it is smaller than the sum of its proper divisors (254161309713600).

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

110133130200000 is an frugal number, since it uses more digits than its factorization.

110133130200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38022 (or 37992 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 110133130200000 its reverse (2031331011), we get a palindrome (110135161531011).

The spelling of 110133130200000 in words is "one hundred ten trillion, one hundred thirty-three billion, one hundred thirty million, two hundred thousand".