1013331330000 has 800 divisors, whose sum is σ = 3982845081600. Its totient is φ = 244555200000.

The previous prime is 1013331329971. The next prime is 1013331330017. The reversal of 1013331330000 is 331333101.

1013331330000 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 331 + 330 + 0 + 0 + 0 = 666.

1013331330000 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 159 ways as a sum of consecutive naturals, for example, 804869371 + ... + 804870629.

It is an arithmetic number, because the mean of its divisors is an integer number (4978556352).

Almost surely, 2^{1013331330000} is an apocalyptic number.

1013331330000 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 1013331330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991422540800).

1013331330000 is an abundant number, since it is smaller than the sum of its proper divisors (2969513751600).

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

1013331330000 is a wasteful number, since it uses less digits than its factorization.

1013331330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 1013331330000 its reverse (331333101), we get a palindrome (1013662663101).

The spelling of 1013331330000 in words is "one trillion, thirteen billion, three hundred thirty-one million, three hundred thirty thousand".