1013116800 has 96 divisors (see below), whose sum is σ = 3336985080. Its totient is φ = 270161920.

The previous prime is 1013116787. The next prime is 1013116807. The reversal of 1013116800 is 86113101.

1013116800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013116807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43167 + ... + 62366.

Almost surely, 2^1013116800 is an apocalyptic number.

1013116800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013116800 is an abundant number, since it is smaller than the sum of its proper divisors (2323868280).

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

1013116800 is a wasteful number, since it uses less digits than its factorization.

1013116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105560 (or 105543 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 1013116800 is about 31829.4957547241. The cubic root of 1013116800 is about 1004.3532880499.

Adding to 1013116800 its reverse (86113101), we get a palindrome (1099229901).

The spelling of 1013116800 in words is "one billion, thirteen million, one hundred sixteen thousand, eight hundred".