1013033120000 has 360 divisors, whose sum is σ = 2775757723200. Its totient is φ = 365808640000.

The previous prime is 1013033119997. The next prime is 1013033120051. The reversal of 1013033120000 is 213303101.

It is a super-2 number, since 2×1013033120000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 262238069 + ... + 262241931.

It is an arithmetic number, because the mean of its divisors is an integer number (7710438120).

Almost surely, 2^{1013033120000} is an apocalyptic number.

1013033120000 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 1013033120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387878861600).

1013033120000 is an abundant number, since it is smaller than the sum of its proper divisors (1762724603200).

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

1013033120000 is an equidigital number, since it uses as much as digits as its factorization.

1013033120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 1013033120000 its reverse (213303101), we get a palindrome (1013246423101).

The spelling of 1013033120000 in words is "one trillion, thirteen billion, thirty-three million, one hundred twenty thousand".