1330113032000 has 224 divisors, whose sum is σ = 3413379999744. Its totient is φ = 512899584000.

The previous prime is 1330113031979. The next prime is 1330113032021. The reversal of 1330113032000 is 2303110331.

It is an interprime number because it is at equal distance from previous prime (1330113031979) and next prime (1330113032021).

It is a self number, because there is not a number n which added to its sum of digits gives 1330113032000.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 65213804 + ... + 65234196.

Almost surely, 2^{1330113032000} is an apocalyptic number.

1330113032000 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 1330113032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706689999872).

1330113032000 is an abundant number, since it is smaller than the sum of its proper divisors (2083266967744).

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

1330113032000 is a wasteful number, since it uses less digits than its factorization.

1330113032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20714 (or 20694 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 1330113032000 its reverse (2303110331), we get a palindrome (1332416142331).

The spelling of 1330113032000 in words is "one trillion, three hundred thirty billion, one hundred thirteen million, thirty-two thousand".