131030200 has 96 divisors (see below), whose sum is σ = 350825760. Its totient is φ = 44582400.

The previous prime is 131030197. The next prime is 131030201. The reversal of 131030200 is 2030131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131030201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241930 + ... + 242470.

It is an arithmetic number, because the mean of its divisors is an integer number (3654435).

Almost surely, 2^131030200 is an apocalyptic number.

131030200 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 131030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175412880).

131030200 is an abundant number, since it is smaller than the sum of its proper divisors (219795560).

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

131030200 is a wasteful number, since it uses less digits than its factorization.

131030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 131030200 is about 11446.8423593583. The cubic root of 131030200 is about 507.9143323828.

Adding to 131030200 its reverse (2030131), we get a palindrome (133060331).

The spelling of 131030200 in words is "one hundred thirty-one million, thirty thousand, two hundred".