112213133313000 has 128 divisors (see below), whose sum is σ = 350112488019840. Its totient is φ = 29922860160000.

The previous prime is 112213133312963. The next prime is 112213133313041. The reversal of 112213133313000 is 313331312211.

It is a super-2 number, since 2×112213133313000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148666555 + ... + 149419445.

It is an arithmetic number, because the mean of its divisors is an integer number (2735253812655).

Almost surely, 2^{112213133313000} is an apocalyptic number.

112213133313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112213133313000 is an abundant number, since it is smaller than the sum of its proper divisors (237899354706840).

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

112213133313000 is a wasteful number, since it uses less digits than its factorization.

112213133313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802596 (or 802582 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 112213133313000 its reverse (313331312211), we get a palindrome (112526464625211).

The spelling of 112213133313000 in words is "one hundred twelve trillion, two hundred thirteen billion, one hundred thirty-three million, three hundred thirteen thousand".