13271400 has 144 divisors (see below), whose sum is σ = 45627660. Its totient is φ = 3456000.

The previous prime is 13271393. The next prime is 13271429. The reversal of 13271400 is 417231.

It can be written as a sum of positive squares in 6 ways, for example, as 9036036 + 4235364 = 3006^2 + 2058^2 .

It is a super-2 number, since 2×13271400² = 352260115920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131350 + ... + 131450.

Almost surely, 2^13271400 is an apocalyptic number.

13271400 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 13271400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22813830).

13271400 is an abundant number, since it is smaller than the sum of its proper divisors (32356260).

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

13271400 is a wasteful number, since it uses less digits than its factorization.

13271400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 13271400 is about 3642.9932747673. The cubic root of 13271400 is about 236.7584999255.

Adding to 13271400 its reverse (417231), we get a palindrome (13688631).

The spelling of 13271400 in words is "thirteen million, two hundred seventy-one thousand, four hundred".