113265243401200 has 240 divisors, whose sum is σ = 298941434380800. Its totient is φ = 40898452608000.

The previous prime is 113265243401183. The next prime is 113265243401203. The reversal of 113265243401200 is 2104342562311.

It is a super-2 number, since 2×113265243401200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113265243401203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2301786997 + ... + 2301836203.

It is an arithmetic number, because the mean of its divisors is an integer number (1245589309920).

Almost surely, 2^{113265243401200} is an apocalyptic number.

113265243401200 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 113265243401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149470717190400).

113265243401200 is an abundant number, since it is smaller than the sum of its proper divisors (185676190979600).

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

113265243401200 is a wasteful number, since it uses less digits than its factorization.

113265243401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52896 (or 52885 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 113265243401200 its reverse (2104342562311), we get a palindrome (115369585963511).

The spelling of 113265243401200 in words is "one hundred thirteen trillion, two hundred sixty-five billion, two hundred forty-three million, four hundred one thousand, two hundred".