112003312113000 has 512 divisors, whose sum is σ = 484087051468800. Its totient is φ = 23273415072000.

The previous prime is 112003312112983. The next prime is 112003312113059. The reversal of 112003312113000 is 311213300211.

112003312113000 is a `hidden beast` number, since 1 + 1 + 20 + 0 + 331 + 2 + 11 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24857824 + ... + 29015823.

It is an arithmetic number, because the mean of its divisors is an integer number (945482522400).

Almost surely, 2^{112003312113000} is an apocalyptic number.

112003312113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112003312113000 is an abundant number, since it is smaller than the sum of its proper divisors (372083739355800).

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

112003312113000 is a wasteful number, since it uses less digits than its factorization.

112003312113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53873695 (or 53873675 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 112003312113000 its reverse (311213300211), we get a palindrome (112314525413211).

The spelling of 112003312113000 in words is "one hundred twelve trillion, three billion, three hundred twelve million, one hundred thirteen thousand".