113010021101200 has 120 divisors (see below), whose sum is σ = 273448087923240. Its totient is φ = 44881206988800.

The previous prime is 113010021101177. The next prime is 113010021101203. The reversal of 113010021101200 is 2101120010311.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 60125942744464 + 52884078356736 = 7754092^2 + 7272144^2 .

It is not an unprimeable number, because it can be changed into a prime (113010021101203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80251170 + ... + 81647230.

It is an arithmetic number, because the mean of its divisors is an integer number (2278734066027).

Almost surely, 2^{113010021101200} is an apocalyptic number.

113010021101200 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 113010021101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136724043961620).

113010021101200 is an abundant number, since it is smaller than the sum of its proper divisors (160438066822040).

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

113010021101200 is a wasteful number, since it uses less digits than its factorization.

113010021101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397525 (or 1397514 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 113010021101200 its reverse (2101120010311), we get a palindrome (115111141111511).

The spelling of 113010021101200 in words is "one hundred thirteen trillion, ten billion, twenty-one million, one hundred one thousand, two hundred".