131313111010200 has 288 divisors, whose sum is σ = 504029396482560. Its totient is φ = 30012211756800.

The previous prime is 131313111010199. The next prime is 131313111010261. The reversal of 131313111010200 is 2010111313131.

131313111010200 is a `hidden beast` number, since 1 + 3 + 131 + 311 + 10 + 10 + 200 = 666.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 173590795 + ... + 174345605.

It is an arithmetic number, because the mean of its divisors is an integer number (1750102071120).

Almost surely, 2^{131313111010200} is an apocalyptic number.

131313111010200 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 131313111010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252014698241280).

131313111010200 is an abundant number, since it is smaller than the sum of its proper divisors (372716285472360).

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

131313111010200 is a wasteful number, since it uses less digits than its factorization.

131313111010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768647 (or 768635 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131313111010200 its reverse (2010111313131), we get a palindrome (133323222323331).

The spelling of 131313111010200 in words is "one hundred thirty-one trillion, three hundred thirteen billion, one hundred eleven million, ten thousand, two hundred".