112300003133130 has 256 divisors, whose sum is σ = 285556577402880. Its totient is φ = 28222145952000.

The previous prime is 112300003133069. The next prime is 112300003133137. The reversal of 112300003133130 is 31331300003211.

It is a super-2 number, since 2×112300003133130² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112300003133097 and 112300003133106.

It is not an unprimeable number, because it can be changed into a prime (112300003133137) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29161255705 + ... + 29161259555.

It is an arithmetic number, because the mean of its divisors is an integer number (1115455380480).

Almost surely, 2^{112300003133130} is an apocalyptic number.

112300003133130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112300003133130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142778288701440).

112300003133130 is an abundant number, since it is smaller than the sum of its proper divisors (173256574269750).

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

112300003133130 is a wasteful number, since it uses less digits than its factorization.

112300003133130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7105.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 112300003133130 its reverse (31331300003211), we get a palindrome (143631303136341).

The spelling of 112300003133130 in words is "one hundred twelve trillion, three hundred billion, three million, one hundred thirty-three thousand, one hundred thirty".