1330010323200 has 864 divisors, whose sum is σ = 5351743716480. Its totient is φ = 321181286400.

The previous prime is 1330010323199. The next prime is 1330010323223. The reversal of 1330010323200 is 23230100331.

1330010323200 is a `hidden beast` number, since 1 + 3 + 300 + 10 + 32 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119053615 + ... + 119064785.

It is an arithmetic number, because the mean of its divisors is an integer number (6194147820).

Almost surely, 2^{1330010323200} is an apocalyptic number.

1330010323200 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 1330010323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675871858240).

1330010323200 is an abundant number, since it is smaller than the sum of its proper divisors (4021733393280).

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

1330010323200 is a wasteful number, since it uses less digits than its factorization.

1330010323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11272 (or 11247 counting only the distinct ones).

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

Adding to 1330010323200 its reverse (23230100331), we get a palindrome (1353240423531).

The spelling of 1330010323200 in words is "one trillion, three hundred thirty billion, ten million, three hundred twenty-three thousand, two hundred".