131325316100 has 144 divisors (see below), whose sum is σ = 313665924096. Its totient is φ = 47329152000.

The previous prime is 131325316097. The next prime is 131325316103. The reversal of 131325316100 is 1613523131.

It is an interprime number because it is at equal distance from previous prime (131325316097) and next prime (131325316103).

It is a self number, because there is not a number n which added to its sum of digits gives 131325316100.

It is not an unprimeable number, because it can be changed into a prime (131325316103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65760302 + ... + 65762298.

It is an arithmetic number, because the mean of its divisors is an integer number (2178235584).

Almost surely, 2^131325316100 is an apocalyptic number.

131325316100 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 131325316100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156832962048).

131325316100 is an abundant number, since it is smaller than the sum of its proper divisors (182340607996).

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

131325316100 is a wasteful number, since it uses less digits than its factorization.

131325316100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

Adding to 131325316100 its reverse (1613523131), we get a palindrome (132938839231).

The spelling of 131325316100 in words is "one hundred thirty-one billion, three hundred twenty-five million, three hundred sixteen thousand, one hundred".