131701533600 has 864 divisors, whose sum is σ = 540710142336. Its totient is φ = 27598233600.

The previous prime is 131701533487. The next prime is 131701533611. The reversal of 131701533600 is 6335107131.

131701533600 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 423477445 + ... + 423477755.

It is an arithmetic number, because the mean of its divisors is an integer number (625821924).

Almost surely, 2^131701533600 is an apocalyptic number.

131701533600 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 131701533600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270355071168).

131701533600 is an abundant number, since it is smaller than the sum of its proper divisors (409008608736).

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

131701533600 is a wasteful number, since it uses less digits than its factorization.

131701533600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The spelling of 131701533600 in words is "one hundred thirty-one billion, seven hundred one million, five hundred thirty-three thousand, six hundred".