131002101300 has 144 divisors (see below), whose sum is σ = 433327265280. Its totient is φ = 29933178240.

The previous prime is 131002101289. The next prime is 131002101311. The reversal of 131002101300 is 3101200131.

It is an interprime number because it is at equal distance from previous prime (131002101289) and next prime (131002101311).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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, 7423087 + ... + 7440713.

It is an arithmetic number, because the mean of its divisors is an integer number (3009217120).

Almost surely, 2^131002101300 is an apocalyptic number.

131002101300 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 131002101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216663632640).

131002101300 is an abundant number, since it is smaller than the sum of its proper divisors (302325163980).

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

131002101300 is a wasteful number, since it uses less digits than its factorization.

131002101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21190 (or 21183 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 131002101300 its reverse (3101200131), we get a palindrome (134103301431).

The spelling of 131002101300 in words is "one hundred thirty-one billion, two million, one hundred one thousand, three hundred".