113333100111000 has 576 divisors, whose sum is σ = 481206755615040. Its totient is φ = 23549733504000.

The previous prime is 113333100110957. The next prime is 113333100111031. The reversal of 113333100111000 is 111001333311.

113333100111000 is a `hidden beast` number, since 1 + 1 + 333 + 310 + 0 + 11 + 10 + 0 + 0 = 666.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 189372 + ... + 15056628.

It is an arithmetic number, because the mean of its divisors is an integer number (835428395165).

Almost surely, 2^{113333100111000} is an apocalyptic number.

113333100111000 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 113333100111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240603377807520).

113333100111000 is an abundant number, since it is smaller than the sum of its proper divisors (367873655504040).

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

113333100111000 is a wasteful number, since it uses less digits than its factorization.

113333100111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14867313 (or 14867285 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 113333100111000 its reverse (111001333311), we get a palindrome (113444101444311).

The spelling of 113333100111000 in words is "one hundred thirteen trillion, three hundred thirty-three billion, one hundred million, one hundred eleven thousand".