1330313022000 has 240 divisors, whose sum is σ = 4771919092512. Its totient is φ = 345162124800.

The previous prime is 1330313021987. The next prime is 1330313022067. The reversal of 1330313022000 is 2203130331.

1330313022000 is a `hidden beast` number, since 1 + 330 + 3 + 130 + 2 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332734 + ... + 1664733.

Almost surely, 2^{1330313022000} is an apocalyptic number.

1330313022000 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 1330313022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385959546256).

1330313022000 is an abundant number, since it is smaller than the sum of its proper divisors (3441606070512).

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

1330313022000 is a wasteful number, since it uses less digits than its factorization.

1330313022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997533 (or 1997514 counting only the distinct ones).

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

Adding to 1330313022000 its reverse (2203130331), we get a palindrome (1332516152331).

The spelling of 1330313022000 in words is "one trillion, three hundred thirty billion, three hundred thirteen million, twenty-two thousand".