13141200 has 120 divisors (see below), whose sum is σ = 43175808. Its totient is φ = 3415040.

The previous prime is 13141189. The next prime is 13141201. The reversal of 13141200 is 214131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×13141200² = 345382274880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13141201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56284 + ... + 56516.

Almost surely, 2^13141200 is an apocalyptic number.

13141200 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 13141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21587904).

13141200 is an abundant number, since it is smaller than the sum of its proper divisors (30034608).

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

13141200 is a wasteful number, since it uses less digits than its factorization.

13141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 13141200 is about 3625.0793094772. The cubic root of 13141200 is about 235.9817088189.

Adding to 13141200 its reverse (214131), we get a palindrome (13355331).

The spelling of 13141200 in words is "thirteen million, one hundred forty-one thousand, two hundred".