131110200 has 216 divisors, whose sum is σ = 477893520. Its totient is φ = 32198400.

The previous prime is 131110193. The next prime is 131110211. The reversal of 131110200 is 2011131.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 303985 + ... + 304415.

It is an arithmetic number, because the mean of its divisors is an integer number (2212470).

Almost surely, 2^131110200 is an apocalyptic number.

131110200 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 131110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238946760).

131110200 is an abundant number, since it is smaller than the sum of its proper divisors (346783320).

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

131110200 is a wasteful number, since it uses less digits than its factorization.

131110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 131110200 is about 11450.3362396045. The cubic root of 131110200 is about 508.0176797534.

Adding to 131110200 its reverse (2011131), we get a palindrome (133121331).

It can be divided in two parts, 1311 and 10200, that added together give a palindrome (11511).

The spelling of 131110200 in words is "one hundred thirty-one million, one hundred ten thousand, two hundred".