13301003201200 has 240 divisors, whose sum is σ = 38836881468000. Its totient is φ = 4310717644800.

The previous prime is 13301003201149. The next prime is 13301003201251. The reversal of 13301003201200 is 210230010331.

It is an interprime number because it is at equal distance from previous prime (13301003201149) and next prime (13301003201251).

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

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 47 ways as a sum of consecutive naturals, for example, 2350425 + ... + 5668024.

It is an arithmetic number, because the mean of its divisors is an integer number (161820339450).

Almost surely, 2^{13301003201200} is an apocalyptic number.

13301003201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13301003201200 is an abundant number, since it is smaller than the sum of its proper divisors (25535878266800).

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

13301003201200 is a wasteful number, since it uses less digits than its factorization.

13301003201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8018520 (or 8018509 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13301003201200 its reverse (210230010331), we get a palindrome (13511233211531).

The spelling of 13301003201200 in words is "thirteen trillion, three hundred one billion, three million, two hundred one thousand, two hundred".