131312301010200 has 576 divisors, whose sum is σ = 471277593446400. Its totient is φ = 32651394969600.

The previous prime is 131312301010091. The next prime is 131312301010213. The reversal of 131312301010200 is 2010103213131.

131312301010200 is a `hidden beast` number, since 1 + 3 + 131 + 230 + 101 + 0 + 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 143 ways as a sum of consecutive naturals, for example, 1484331169 + ... + 1484419631.

It is an arithmetic number, because the mean of its divisors is an integer number (818190266400).

Almost surely, 2^{131312301010200} is an apocalyptic number.

131312301010200 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 131312301010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235638796723200).

131312301010200 is an abundant number, since it is smaller than the sum of its proper divisors (339965292436200).

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

131312301010200 is a wasteful number, since it uses less digits than its factorization.

131312301010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88952 (or 88940 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131312301010200 its reverse (2010103213131), we get a palindrome (133322404223331).

The spelling of 131312301010200 in words is "one hundred thirty-one trillion, three hundred twelve billion, three hundred one million, ten thousand, two hundred".