131201420200000 has 336 divisors, whose sum is σ = 347078846313360. Its totient is φ = 49032765440000.

The previous prime is 131201420199893. The next prime is 131201420200027. The reversal of 131201420200000 is 2024102131.

It can be written as a sum of positive squares in 24 ways, for example, as 105512011785216 + 25689408414784 = 10271904^2 + 5068472^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 465659166 + ... + 465940834.

It is an arithmetic number, because the mean of its divisors is an integer number (1032972756885).

Almost surely, 2^{131201420200000} is an apocalyptic number.

131201420200000 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 131201420200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173539423156680).

131201420200000 is an abundant number, since it is smaller than the sum of its proper divisors (215877426113360).

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

131201420200000 is an equidigital number, since it uses as much as digits as its factorization.

131201420200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281860 (or 281830 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 131201420200000 its reverse (2024102131), we get a palindrome (131203444302131).

The spelling of 131201420200000 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred twenty million, two hundred thousand".