13271395200 has 576 divisors, whose sum is σ = 51582970800. Its totient is φ = 2989916160.

The previous prime is 13271395183. The next prime is 13271395229. The reversal of 13271395200 is 259317231.

It is a super-2 number, since 2×13271395200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41865442 + ... + 41865758.

Almost surely, 2^13271395200 is an apocalyptic number.

13271395200 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 13271395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25791485400).

13271395200 is an abundant number, since it is smaller than the sum of its proper divisors (38311575600).

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

13271395200 is a wasteful number, since it uses less digits than its factorization.

13271395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The spelling of 13271395200 in words is "thirteen billion, two hundred seventy-one million, three hundred ninety-five thousand, two hundred".