1013831884800 has 504 divisors, whose sum is σ = 4150395037776. Its totient is φ = 231730053120.

The previous prime is 1013831884789. The next prime is 1013831884801. The reversal of 1013831884800 is 84881383101.

It is a happy number.

1013831884800 is a `hidden beast` number, since 1 + 0 + 13 + 83 + 1 + 88 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013831884801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12863112 + ... + 12941688.

Almost surely, 2^{1013831884800} is an apocalyptic number.

1013831884800 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 1013831884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075197518888).

1013831884800 is an abundant number, since it is smaller than the sum of its proper divisors (3136563152976).

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

1013831884800 is an equidigital number, since it uses as much as digits as its factorization.

1013831884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78626 (or 78594 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 1013831884800 in words is "one trillion, thirteen billion, eight hundred thirty-one million, eight hundred eighty-four thousand, eight hundred".