13131321301 has 6 divisors (see below), whose sum is σ = 15275210550. Its totient is φ = 11255418216.

The previous prime is 13131321283. The next prime is 13131321317. The reversal of 13131321301 is 10312313131.

13131321301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12105720676 + 1025600625 = 110026^2 + 32025^2 .

It is not a de Polignac number, because 13131321301 - 2²¹ = 13129224149 is a prime.

It is a super-2 number, since 2×13131321301² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131321331) 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 5 ways as a sum of consecutive naturals, for example, 133993026 + ... + 133993123.

It is an arithmetic number, because the mean of its divisors is an integer number (2545868425).

Almost surely, 2^13131321301 is an apocalyptic number.

It is an amenable number.

13131321301 is a deficient number, since it is larger than the sum of its proper divisors (2143889249).

13131321301 is an equidigital number, since it uses as much as digits as its factorization.

13131321301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267986163 (or 267986156 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13131321301 its reverse (10312313131), we get a palindrome (23443634432).

The spelling of 13131321301 in words is "thirteen billion, one hundred thirty-one million, three hundred twenty-one thousand, three hundred one".