112133311300 has 36 divisors (see below), whose sum is σ = 243386180100. Its totient is φ = 44842837120.

The previous prime is 112133311273. The next prime is 112133311327. The reversal of 112133311300 is 3113331211.

It is an interprime number because it is at equal distance from previous prime (112133311273) and next prime (112133311327).

It can be written as a sum of positive squares in 6 ways, for example, as 7023780864 + 105109530436 = 83808^2 + 324206^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 305982 + ... + 563818.

It is an arithmetic number, because the mean of its divisors is an integer number (6760727225).

Almost surely, 2^112133311300 is an apocalyptic number.

112133311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112133311300 is an abundant number, since it is smaller than the sum of its proper divisors (131252868800).

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

112133311300 is a wasteful number, since it uses less digits than its factorization.

112133311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262200 (or 262193 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 112133311300 its reverse (3113331211), we get a palindrome (115246642511).

The spelling of 112133311300 in words is "one hundred twelve billion, one hundred thirty-three million, three hundred eleven thousand, three hundred".