131012200 has 192 divisors, whose sum is σ = 366405120. Its totient is φ = 43008000.

The previous prime is 131012173. The next prime is 131012207. The reversal of 131012200 is 2210131.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (131012207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1159344 + ... + 1159456.

It is an arithmetic number, because the mean of its divisors is an integer number (1908360).

Almost surely, 2^131012200 is an apocalyptic number.

131012200 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 131012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183202560).

131012200 is an abundant number, since it is smaller than the sum of its proper divisors (235392920).

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

131012200 is a wasteful number, since it uses less digits than its factorization.

131012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 131012200 is about 11446.0560893261. The cubic root of 131012200 is about 507.8910734276.

Adding to 131012200 its reverse (2210131), we get a palindrome (133222331).

The spelling of 131012200 in words is "one hundred thirty-one million, twelve thousand, two hundred".