131344353331350 has 192 divisors, whose sum is σ = 344658060115200. Its totient is φ = 33009712496640.

The previous prime is 131344353331343. The next prime is 131344353331421. The reversal of 131344353331350 is 53133353443131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 745640086 + ... + 745816214.

It is an arithmetic number, because the mean of its divisors is an integer number (1795094063100).

Almost surely, 2^{131344353331350} is an apocalyptic number.

131344353331350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131344353331350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172329030057600).

131344353331350 is an abundant number, since it is smaller than the sum of its proper divisors (213313706783850).

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

131344353331350 is a wasteful number, since it uses less digits than its factorization.

131344353331350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177519 (or 177514 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 42.

The spelling of 131344353331350 in words is "one hundred thirty-one trillion, three hundred forty-four billion, three hundred fifty-three million, three hundred thirty-one thousand, three hundred fifty".