131205513252000 has 384 divisors, whose sum is σ = 471712540336128. Its totient is φ = 31616928384000.

The previous prime is 131205513251983. The next prime is 131205513252097. The reversal of 131205513252000 is 252315502131.

131205513252000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19068009 + ... + 25019991.

It is an arithmetic number, because the mean of its divisors is an integer number (1228418073792).

Almost surely, 2^{131205513252000} is an apocalyptic number.

131205513252000 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 131205513252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235856270168064).

131205513252000 is an abundant number, since it is smaller than the sum of its proper divisors (340507027084128).

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

131205513252000 is a wasteful number, since it uses less digits than its factorization.

131205513252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5952189 (or 5952171 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 131205513252000 its reverse (252315502131), we get a palindrome (131457828754131).

The spelling of 131205513252000 in words is "one hundred thirty-one trillion, two hundred five billion, five hundred thirteen million, two hundred fifty-two thousand".