1320013030000 has 400 divisors, whose sum is σ = 3859628523520. Its totient is φ = 427089024000.

The previous prime is 1320013029991. The next prime is 1320013030001. The reversal of 1320013030000 is 303100231.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-3 number, since 3×1320013030000³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320013030001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 368408209 + ... + 368411791.

Almost surely, 2^{1320013030000} is an apocalyptic number.

1320013030000 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 1320013030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929814261760).

1320013030000 is an abundant number, since it is smaller than the sum of its proper divisors (2539615493520).

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

1320013030000 is a wasteful number, since it uses less digits than its factorization.

1320013030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914 (or 3893 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 1320013030000 its reverse (303100231), we get a palindrome (1320316130231).

The spelling of 1320013030000 in words is "one trillion, three hundred twenty billion, thirteen million, thirty thousand".