10131200 has 54 divisors (see below), whose sum is σ = 25092144. Its totient is φ = 4049920.

The previous prime is 10131181. The next prime is 10131211. The reversal of 10131200 is 213101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5609 + ... + 7191.

Almost surely, 2^10131200 is an apocalyptic number.

10131200 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 10131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12546072).

10131200 is an abundant number, since it is smaller than the sum of its proper divisors (14960944).

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

10131200 is an equidigital number, since it uses as much as digits as its factorization.

10131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 10131200 is about 3182.9546022524. The cubic root of 10131200 is about 216.3815843005.

Adding to 10131200 its reverse (213101), we get a palindrome (10344301).

The spelling of 10131200 in words is "ten million, one hundred thirty-one thousand, two hundred".