131201532000 has 1152 divisors, whose sum is σ = 602375574528. Its totient is φ = 27247104000.

The previous prime is 131201531963. The next prime is 131201532001. The reversal of 131201532000 is 235102131.

131201532000 is a `hidden beast` number, since 1 + 312 + 0 + 153 + 200 + 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 not an unprimeable number, because it can be changed into a prime (131201532001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74843124 + ... + 74844876.

It is an arithmetic number, because the mean of its divisors is an integer number (522895464).

Almost surely, 2^131201532000 is an apocalyptic number.

131201532000 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 131201532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301187787264).

131201532000 is an abundant number, since it is smaller than the sum of its proper divisors (471174042528).

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

131201532000 is a wasteful number, since it uses less digits than its factorization.

131201532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 131201532000 its reverse (235102131), we get a palindrome (131436634131).

The spelling of 131201532000 in words is "one hundred thirty-one billion, two hundred one million, five hundred thirty-two thousand".