131002131300 has 144 divisors (see below), whose sum is σ = 383015485440. Its totient is φ = 34568743040.

The previous prime is 131002131289. The next prime is 131002131301. The reversal of 131002131300 is 3131200131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131002131300.

It is not an unprimeable number, because it can be changed into a prime (131002131301) 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 47 ways as a sum of consecutive naturals, for example, 11366941 + ... + 11378459.

It is an arithmetic number, because the mean of its divisors is an integer number (2659829760).

Almost surely, 2^131002131300 is an apocalyptic number.

131002131300 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 131002131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191507742720).

131002131300 is an abundant number, since it is smaller than the sum of its proper divisors (252013354140).

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

131002131300 is a wasteful number, since it uses less digits than its factorization.

131002131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11930 (or 11923 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 131002131300 its reverse (3131200131), we get a palindrome (134133331431).

The spelling of 131002131300 in words is "one hundred thirty-one billion, two million, one hundred thirty-one thousand, three hundred".