131344351350200 has 192 divisors, whose sum is σ = 316296394128000. Its totient is φ = 50663423139840.

The previous prime is 131344351350137. The next prime is 131344351350259. The reversal of 131344351350200 is 2053153443131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19970249312 + ... + 19970255888.

It is an arithmetic number, because the mean of its divisors is an integer number (1647377052750).

Almost surely, 2^{131344351350200} is an apocalyptic number.

131344351350200 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 131344351350200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158148197064000).

131344351350200 is an abundant number, since it is smaller than the sum of its proper divisors (184952042777800).

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

131344351350200 is a wasteful number, since it uses less digits than its factorization.

131344351350200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10354 (or 10345 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The spelling of 131344351350200 in words is "one hundred thirty-one trillion, three hundred forty-four billion, three hundred fifty-one million, three hundred fifty thousand, two hundred".