131551323351200 has 288 divisors, whose sum is σ = 340136413626240. Its totient is φ = 49583749529600.

The previous prime is 131551323351139. The next prime is 131551323351211. The reversal of 131551323351200 is 2153323155131.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330025616 + ... + 330423984.

It is an arithmetic number, because the mean of its divisors is an integer number (1181029213980).

Almost surely, 2^{131551323351200} is an apocalyptic number.

131551323351200 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 131551323351200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170068206813120).

131551323351200 is an abundant number, since it is smaller than the sum of its proper divisors (208585090275040).

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

131551323351200 is a wasteful number, since it uses less digits than its factorization.

131551323351200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398680 (or 398667 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 35.

The spelling of 131551323351200 in words is "one hundred thirty-one trillion, five hundred fifty-one billion, three hundred twenty-three million, three hundred fifty-one thousand, two hundred".