113333001132100 has 72 divisors (see below), whose sum is σ = 248657418297288. Its totient is φ = 44831979648000.

The previous prime is 113333001132067. The next prime is 113333001132139. The reversal of 113333001132100 is 1231100333311.

It can be written as a sum of positive squares in 12 ways, for example, as 725927856196 + 112607073275904 = 852014^2 + 10611648^2 .

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 23 ways as a sum of consecutive naturals, for example, 2108974 + ... + 15202426.

It is an arithmetic number, because the mean of its divisors is an integer number (3453575254129).

Almost surely, 2^{113333001132100} is an apocalyptic number.

113333001132100 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 113333001132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124328709148644).

113333001132100 is an abundant number, since it is smaller than the sum of its proper divisors (135324417165188).

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

113333001132100 is a wasteful number, since it uses less digits than its factorization.

113333001132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13094425 (or 13094418 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 113333001132100 its reverse (1231100333311), we get a palindrome (114564101465411).

The spelling of 113333001132100 in words is "one hundred thirteen trillion, three hundred thirty-three billion, one million, one hundred thirty-two thousand, one hundred".