1013215660800 has 864 divisors, whose sum is σ = 3933596567040. Its totient is φ = 224899891200.

The previous prime is 1013215660781. The next prime is 1013215660841. The reversal of 1013215660800 is 80665123101.

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 95 ways as a sum of consecutive naturals, for example, 680466456 + ... + 680467944.

Almost surely, 2^{1013215660800} is an apocalyptic number.

1013215660800 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 1013215660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966798283520).

1013215660800 is an abundant number, since it is smaller than the sum of its proper divisors (2920380906240).

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

1013215660800 is a wasteful number, since it uses less digits than its factorization.

1013215660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 1013215660800 in words is "one trillion, thirteen billion, two hundred fifteen million, six hundred sixty thousand, eight hundred".