13114132420200 has 384 divisors, whose sum is σ = 49120475136000. Its totient is φ = 2827347379200.

The previous prime is 13114132420199. The next prime is 13114132420201. The reversal of 13114132420200 is 202423141131.

It is an interprime number because it is at equal distance from previous prime (13114132420199) and next prime (13114132420201).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13114132420201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17915385 + ... + 18633015.

It is an arithmetic number, because the mean of its divisors is an integer number (127917904000).

Almost surely, 2^{13114132420200} is an apocalyptic number.

13114132420200 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 13114132420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24560237568000).

13114132420200 is an abundant number, since it is smaller than the sum of its proper divisors (36006342715800).

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

13114132420200 is a wasteful number, since it uses less digits than its factorization.

13114132420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717905 (or 717896 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13114132420200 its reverse (202423141131), we get a palindrome (13316555561331).

The spelling of 13114132420200 in words is "thirteen trillion, one hundred fourteen billion, one hundred thirty-two million, four hundred twenty thousand, two hundred".