13102156800 has 792 divisors, whose sum is σ = 51278332560. Its totient is φ = 3185049600.

The previous prime is 13102156799. The next prime is 13102156807. The reversal of 13102156800 is 865120131.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (13102156807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 179481564 + ... + 179481636.

Almost surely, 2^13102156800 is an apocalyptic number.

13102156800 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 13102156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25639166280).

13102156800 is an abundant number, since it is smaller than the sum of its proper divisors (38176175760).

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

13102156800 is a wasteful number, since it uses less digits than its factorization.

13102156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 13102156800 its reverse (865120131), we get a palindrome (13967276931).

The spelling of 13102156800 in words is "thirteen billion, one hundred two million, one hundred fifty-six thousand, eight hundred".