131202140323200 has 384 divisors, whose sum is σ = 447733630832640. Its totient is φ = 33733656576000.

The previous prime is 131202140323153. The next prime is 131202140323201. The reversal of 131202140323200 is 2323041202131.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131202140323201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79836192 + ... + 81463008.

It is an arithmetic number, because the mean of its divisors is an integer number (1165972996960).

Almost surely, 2^{131202140323200} is an apocalyptic number.

131202140323200 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 131202140323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223866815416320).

131202140323200 is an abundant number, since it is smaller than the sum of its proper divisors (316531490509440).

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

131202140323200 is a wasteful number, since it uses less digits than its factorization.

131202140323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627146 (or 1627129 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131202140323200 its reverse (2323041202131), we get a palindrome (133525181525331).

The spelling of 131202140323200 in words is "one hundred thirty-one trillion, two hundred two billion, one hundred forty million, three hundred twenty-three thousand, two hundred".