1013332320000 has 4320 divisors, whose sum is σ = 5299417643520. Its totient is φ = 179159040000.

The previous prime is 1013332319933. The next prime is 1013332320023. The reversal of 1013332320000 is 232333101.

1013332320000 is a `hidden beast` number, since 1 + 0 + 13 + 332 + 320 + 0 + 0 + 0 = 666.

1013332320000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 27387359982 + ... + 27387360018.

Almost surely, 2^{1013332320000} is an apocalyptic number.

1013332320000 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 1013332320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649708821760).

1013332320000 is an abundant number, since it is smaller than the sum of its proper divisors (4286085323520).

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

1013332320000 is a wasteful number, since it uses less digits than its factorization.

1013332320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1013332320000 its reverse (232333101), we get a palindrome (1013564653101).

The spelling of 1013332320000 in words is "one trillion, thirteen billion, three hundred thirty-two million, three hundred twenty thousand".