1320013332000 has 1152 divisors, whose sum is σ = 5478340428288. Its totient is φ = 297741312000.

The previous prime is 1320013331981. The next prime is 1320013332007. The reversal of 1320013332000 is 2333100231.

1320013332000 is a `hidden beast` number, since 1 + 320 + 0 + 13 + 332 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1320013332007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 336994042 + ... + 336997958.

It is an arithmetic number, because the mean of its divisors is an integer number (4755503844).

Almost surely, 2^{1320013332000} is an apocalyptic number.

1320013332000 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 1320013332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739170214144).

1320013332000 is an abundant number, since it is smaller than the sum of its proper divisors (4158327096288).

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

1320013332000 is a wasteful number, since it uses less digits than its factorization.

1320013332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4019 (or 3998 counting only the distinct ones).

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

Adding to 1320013332000 its reverse (2333100231), we get a palindrome (1322346432231).

The spelling of 1320013332000 in words is "one trillion, three hundred twenty billion, thirteen million, three hundred thirty-two thousand".