113022213133200 has 480 divisors, whose sum is σ = 421563946252032. Its totient is φ = 25351495680000.

The previous prime is 113022213133129. The next prime is 113022213133201. The reversal of 113022213133200 is 2331312220311.

It is a super-4 number, since 4×113022213133200⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (113022213133201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95279740 + ... + 96458660.

Almost surely, 2^{113022213133200} is an apocalyptic number.

113022213133200 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 113022213133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210781973126016).

113022213133200 is an abundant number, since it is smaller than the sum of its proper divisors (308541733118832).

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

113022213133200 is a wasteful number, since it uses less digits than its factorization.

113022213133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179163 (or 1179152 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 113022213133200 its reverse (2331312220311), we get a palindrome (115353525353511).

The spelling of 113022213133200 in words is "one hundred thirteen trillion, twenty-two billion, two hundred thirteen million, one hundred thirty-three thousand, two hundred".