131302101100 has 72 divisors (see below), whose sum is σ = 301037763600. Its totient is φ = 49571424000.

The previous prime is 131302101071. The next prime is 131302101107. The reversal of 131302101100 is 1101203131.

It is not an unprimeable number, because it can be changed into a prime (131302101107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382650 + ... + 639550.

It is an arithmetic number, because the mean of its divisors is an integer number (4181080050).

Almost surely, 2^131302101100 is an apocalyptic number.

131302101100 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 131302101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150518881800).

131302101100 is an abundant number, since it is smaller than the sum of its proper divisors (169735662500).

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

131302101100 is a wasteful number, since it uses less digits than its factorization.

131302101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257203 (or 257196 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 131302101100 its reverse (1101203131), we get a palindrome (132403304231).

The spelling of 131302101100 in words is "one hundred thirty-one billion, three hundred two million, one hundred one thousand, one hundred".