131302021212000 has 576 divisors, whose sum is σ = 483324183957888. Its totient is φ = 33730214400000.

The previous prime is 131302021211993. The next prime is 131302021212113. The reversal of 131302021212000 is 212120203131.

131302021212000 is a `hidden beast` number, since 1 + 31 + 302 + 0 + 212 + 120 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134044005 + ... + 135019995.

It is an arithmetic number, because the mean of its divisors is an integer number (839104486038).

Almost surely, 2^{131302021212000} is an apocalyptic number.

131302021212000 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 131302021212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241662091978944).

131302021212000 is an abundant number, since it is smaller than the sum of its proper divisors (352022162745888).

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

131302021212000 is a wasteful number, since it uses less digits than its factorization.

131302021212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976160 (or 976139 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131302021212000 its reverse (212120203131), we get a palindrome (131514141415131).

The spelling of 131302021212000 in words is "one hundred thirty-one trillion, three hundred two billion, twenty-one million, two hundred twelve thousand".