1013112172800 has 648 divisors, whose sum is σ = 4457998044864. Its totient is φ = 213754429440.

The previous prime is 1013112172799. The next prime is 1013112172859. The reversal of 1013112172800 is 82712113101.

1013112172800 is a `hidden beast` number, since 101 + 311 + 2 + 172 + 80 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 5144959 + ... + 5338241.

Almost surely, 2^{1013112172800} is an apocalyptic number.

1013112172800 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 1013112172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228999022432).

1013112172800 is an abundant number, since it is smaller than the sum of its proper divisors (3444885872064).

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

1013112172800 is a wasteful number, since it uses less digits than its factorization.

1013112172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193335 (or 193313 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

Adding to 1013112172800 its reverse (82712113101), we get a palindrome (1095824285901).

The spelling of 1013112172800 in words is "one trillion, thirteen billion, one hundred twelve million, one hundred seventy-two thousand, eight hundred".