131323385575200 has 1152 divisors, whose sum is σ = 530243446247424. Its totient is φ = 27490129920000.

The previous prime is 131323385575171. The next prime is 131323385575201. The reversal of 131323385575200 is 2575583323131.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 131323385575200.

It is not an unprimeable number, because it can be changed into a prime (131323385575201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33407117235 + ... + 33407121165.

It is an arithmetic number, because the mean of its divisors is an integer number (460280769312).

Almost surely, 2^{131323385575200} is an apocalyptic number.

131323385575200 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 131323385575200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265121723123712).

131323385575200 is an abundant number, since it is smaller than the sum of its proper divisors (398920060672224).

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

131323385575200 is a wasteful number, since it uses less digits than its factorization.

131323385575200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5138 (or 5125 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 131323385575200 in words is "one hundred thirty-one trillion, three hundred twenty-three billion, three hundred eighty-five million, five hundred seventy-five thousand, two hundred".