13116070800 has 720 divisors, whose sum is σ = 55509697152. Its totient is φ = 2911334400.

The previous prime is 13116070783. The next prime is 13116070841. The reversal of 13116070800 is 807061131.

13116070800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×13116070800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 143 ways as a sum of consecutive naturals, for example, 25174540 + ... + 25175060.

Almost surely, 2^13116070800 is an apocalyptic number.

13116070800 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 13116070800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27754848576).

13116070800 is an abundant number, since it is smaller than the sum of its proper divisors (42393626352).

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

13116070800 is a wasteful number, since it uses less digits than its factorization.

13116070800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 13116070800 in words is "thirteen billion, one hundred sixteen million, seventy thousand, eight hundred".