13332102012000 has 480 divisors, whose sum is σ = 50071293496224. Its totient is φ = 3472543872000.

The previous prime is 13332102011993. The next prime is 13332102012029. The reversal of 13332102012000 is 21020123331.

13332102012000 is a `hidden beast` number, since 1 + 333 + 210 + 2 + 0 + 120 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13453530 + ... + 14410470.

Almost surely, 2^{13332102012000} is an apocalyptic number.

13332102012000 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 13332102012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25035646748112).

13332102012000 is an abundant number, since it is smaller than the sum of its proper divisors (36739191484224).

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

13332102012000 is an equidigital number, since it uses as much as digits as its factorization.

13332102012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957021 (or 956994 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13332102012000 its reverse (21020123331), we get a palindrome (13353122135331).

The spelling of 13332102012000 in words is "thirteen trillion, three hundred thirty-two billion, one hundred two million, twelve thousand".