1013322303000 has 576 divisors, whose sum is σ = 4069071676800. Its totient is φ = 226683878400.

The previous prime is 1013322302999. The next prime is 1013322303001. The reversal of 1013322303000 is 3032233101.

1013322303000 is a `hidden beast` number, since 1 + 0 + 1 + 332 + 2 + 30 + 300 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1013322302999) and next prime (1013322303001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013322303001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20702556 + ... + 20751444.

It is an arithmetic number, because the mean of its divisors is an integer number (7064360550).

Almost surely, 2^{1013322303000} is an apocalyptic number.

1013322303000 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 1013322303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034535838400).

1013322303000 is an abundant number, since it is smaller than the sum of its proper divisors (3055749373800).

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

1013322303000 is a wasteful number, since it uses less digits than its factorization.

1013322303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48977 (or 48953 counting only the distinct ones).

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

Adding to 1013322303000 its reverse (3032233101), we get a palindrome (1016354536101).

The spelling of 1013322303000 in words is "one trillion, thirteen billion, three hundred twenty-two million, three hundred three thousand".