131303202202013 has 16 divisors (see below), whose sum is σ = 143397213064560. Its totient is φ = 119723448877056.

The previous prime is 131303202201973. The next prime is 131303202202033. The reversal of 131303202202013 is 310202202303131.

It can be written as a sum of positive squares in 8 ways, for example, as 27029736174169 + 104273466027844 = 5199013^2 + 10211438^2 .

It is a cyclic number.

It is not a de Polignac number, because 131303202202013 - 2²⁶ = 131303135093149 is a prime.

It is a super-2 number, since 2×131303202202013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131303202202013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131303202202033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447812948 + ... + 448106061.

It is an arithmetic number, because the mean of its divisors is an integer number (8962325816535).

Almost surely, 2^{131303202202013} is an apocalyptic number.

It is an amenable number.

131303202202013 is a deficient number, since it is larger than the sum of its proper divisors (12094010862547).

131303202202013 is a wasteful number, since it uses less digits than its factorization.

131303202202013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895919296.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 131303202202013 its reverse (310202202303131), we get a palindrome (441505404505144).

The spelling of 131303202202013 in words is "one hundred thirty-one trillion, three hundred three billion, two hundred two million, two hundred two thousand, thirteen".