131113330200 has 288 divisors, whose sum is σ = 445200032160. Its totient is φ = 34578432000.

The previous prime is 131113330189. The next prime is 131113330211. The reversal of 131113330200 is 2033311131.

It is a happy number.

131113330200 is a `hidden beast` number, since 1 + 311 + 1 + 3 + 330 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (131113330189) and next prime (131113330211).

It is a super-2 number, since 2×131113330200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69851662 + ... + 69853538.

It is an arithmetic number, because the mean of its divisors is an integer number (1545833445).

Almost surely, 2^131113330200 is an apocalyptic number.

131113330200 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 131113330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222600016080).

131113330200 is an abundant number, since it is smaller than the sum of its proper divisors (314086701960).

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

131113330200 is a wasteful number, since it uses less digits than its factorization.

131113330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131113330200 its reverse (2033311131), we get a palindrome (133146641331).

The spelling of 131113330200 in words is "one hundred thirty-one billion, one hundred thirteen million, three hundred thirty thousand, two hundred".