1330000201320 has 512 divisors, whose sum is σ = 5008367738880. Its totient is φ = 275626229760.

The previous prime is 1330000201301. The next prime is 1330000201349. The reversal of 1330000201320 is 231020000331.

It is a super-2 number, since 2×1330000201320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1330000201320.

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 127 ways as a sum of consecutive naturals, for example, 44810085 + ... + 44839755.

It is an arithmetic number, because the mean of its divisors is an integer number (9781968240).

Almost surely, 2^{1330000201320} is an apocalyptic number.

1330000201320 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 1330000201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504183869440).

1330000201320 is an abundant number, since it is smaller than the sum of its proper divisors (3678367537560).

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

1330000201320 is a wasteful number, since it uses less digits than its factorization.

1330000201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29825 (or 29821 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1330000201320 its reverse (231020000331), we get a palindrome (1561020201651).

The spelling of 1330000201320 in words is "one trillion, three hundred thirty billion, two hundred one thousand, three hundred twenty".