131600133600 has 576 divisors, whose sum is σ = 481177202688. Its totient is φ = 31021056000.

The previous prime is 131600133563. The next prime is 131600133607. The reversal of 131600133600 is 6331006131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131600133607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99620940 + ... + 99622260.

It is an arithmetic number, because the mean of its divisors is an integer number (835377088).

Almost surely, 2^131600133600 is an apocalyptic number.

131600133600 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 131600133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240588601344).

131600133600 is an abundant number, since it is smaller than the sum of its proper divisors (349577069088).

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

131600133600 is a wasteful number, since it uses less digits than its factorization.

131600133600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 131600133600 its reverse (6331006131), we get a palindrome (137931139731).

The spelling of 131600133600 in words is "one hundred thirty-one billion, six hundred million, one hundred thirty-three thousand, six hundred".