131141324013100 has 72 divisors (see below), whose sum is σ = 286463010693888. Its totient is φ = 52109217633600.

The previous prime is 131141324013019. The next prime is 131141324013101. The reversal of 131141324013100 is 1310423141131.

It is a super-3 number, since 3×131141324013100³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (131141324013101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23736409 + ... + 28734991.

It is an arithmetic number, because the mean of its divisors is an integer number (3978652926304).

Almost surely, 2^{131141324013100} is an apocalyptic number.

131141324013100 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 131141324013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143231505346944).

131141324013100 is an abundant number, since it is smaller than the sum of its proper divisors (155321686680788).

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

131141324013100 is a wasteful number, since it uses less digits than its factorization.

131141324013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000335 (or 5000328 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 131141324013100 its reverse (1310423141131), we get a palindrome (132451747154231).

The spelling of 131141324013100 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred twenty-four million, thirteen thousand, one hundred".