131031321330100 has 288 divisors, whose sum is σ = 308037306350592. Its totient is φ = 48282324480000.

The previous prime is 131031321330083. The next prime is 131031321330103. The reversal of 131031321330100 is 1033123130131.

131031321330100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131031321330103) 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, 1219216567 + ... + 1219324033.

It is an arithmetic number, because the mean of its divisors is an integer number (1069573980384).

Almost surely, 2^{131031321330100} is an apocalyptic number.

131031321330100 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 131031321330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154018653175296).

131031321330100 is an abundant number, since it is smaller than the sum of its proper divisors (177005985020492).

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

131031321330100 is a wasteful number, since it uses less digits than its factorization.

131031321330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107787 (or 107780 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 131031321330100 its reverse (1033123130131), we get a palindrome (132064444460231).

The spelling of 131031321330100 in words is "one hundred thirty-one trillion, thirty-one billion, three hundred twenty-one million, three hundred thirty thousand, one hundred".