13314212254200 has 192 divisors, whose sum is σ = 48489802704000. Its totient is φ = 2979404121600.

The previous prime is 13314212254067. The next prime is 13314212254207. The reversal of 13314212254200 is 245221241331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13314212254207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77502850 + ... + 77674449.

It is an arithmetic number, because the mean of its divisors is an integer number (252551055750).

Almost surely, 2^{13314212254200} is an apocalyptic number.

13314212254200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13314212254200 is an abundant number, since it is smaller than the sum of its proper divisors (35175590449800).

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

13314212254200 is a wasteful number, since it uses less digits than its factorization.

13314212254200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155177342 (or 155177333 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 13314212254200 its reverse (245221241331), we get a palindrome (13559433495531).

The spelling of 13314212254200 in words is "thirteen trillion, three hundred fourteen billion, two hundred twelve million, two hundred fifty-four thousand, two hundred".