13114423214200 has 96 divisors (see below), whose sum is σ = 38014795647360. Its totient is φ = 4087612425600.

The previous prime is 13114423214197. The next prime is 13114423214201. The reversal of 13114423214200 is 241232441131.

It is a happy number.

It is a super-2 number, since 2×13114423214200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114423214201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425777562 + ... + 425808361.

It is an arithmetic number, because the mean of its divisors is an integer number (395987454660).

Almost surely, 2^{13114423214200} is an apocalyptic number.

13114423214200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114423214200 is an abundant number, since it is smaller than the sum of its proper divisors (24900372433160).

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

13114423214200 is a wasteful number, since it uses less digits than its factorization.

13114423214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851585957 (or 851585948 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 13114423214200 its reverse (241232441131), we get a palindrome (13355655655331).

The spelling of 13114423214200 in words is "thirteen trillion, one hundred fourteen billion, four hundred twenty-three million, two hundred fourteen thousand, two hundred".