1012113313200 has 720 divisors, whose sum is σ = 3876378012000. Its totient is φ = 242513510400.

The previous prime is 1012113313103. The next prime is 1012113313213. The reversal of 1012113313200 is 23133112101.

1012113313200 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 11 + 331 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 1988434546 + ... + 1988435054.

It is an arithmetic number, because the mean of its divisors is an integer number (5383858350).

Almost surely, 2^{1012113313200} is an apocalyptic number.

1012113313200 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 1012113313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938189006000).

1012113313200 is an abundant number, since it is smaller than the sum of its proper divisors (2864264698800).

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

1012113313200 is a wasteful number, since it uses less digits than its factorization.

1012113313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1016 counting only the distinct ones).

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

Adding to 1012113313200 its reverse (23133112101), we get a palindrome (1035246425301).

The spelling of 1012113313200 in words is "one trillion, twelve billion, one hundred thirteen million, three hundred thirteen thousand, two hundred".