13332301000000 has 392 divisors, whose sum is σ = 35098044645528. Its totient is φ = 5007360000000.

The previous prime is 13332300999973. The next prime is 13332301000001. The reversal of 13332301000000 is 10323331.

It can be written as a sum of positive squares in 28 ways, for example, as 1897407071296 + 11434893928704 = 1377464^2 + 3381552^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332301000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11100999400 + ... + 11101000600.

Almost surely, 2^{13332301000000} is an apocalyptic number.

13332301000000 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 13332301000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17549022322764).

13332301000000 is an abundant number, since it is smaller than the sum of its proper divisors (21765743645528).

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

13332301000000 is an frugal number, since it uses more digits than its factorization.

13332301000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 13332301000000 its reverse (10323331), we get a palindrome (13332311323331).

The spelling of 13332301000000 in words is "thirteen trillion, three hundred thirty-two billion, three hundred one million", and thus it is an aban number.