131201204132000 has 192 divisors, whose sum is σ = 327674887027488. Its totient is φ = 51615590400000.

The previous prime is 131201204131897. The next prime is 131201204132027. The reversal of 131201204132000 is 231402102131.

It can be written as a sum of positive squares in 16 ways, for example, as 23532938357776 + 107668265774224 = 4851076^2 + 10376332^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4563029624 + ... + 4563058376.

Almost surely, 2^{131201204132000} is an apocalyptic number.

131201204132000 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 131201204132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163837443513744).

131201204132000 is an abundant number, since it is smaller than the sum of its proper divisors (196473682895488).

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

131201204132000 is a wasteful number, since it uses less digits than its factorization.

131201204132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47540 (or 47522 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131201204132000 its reverse (231402102131), we get a palindrome (131432606234131).

The spelling of 131201204132000 in words is "one hundred thirty-one trillion, two hundred one billion, two hundred four million, one hundred thirty-two thousand".