13123132301 has 2 divisors, whose sum is σ = 13123132302. Its totient is φ = 13123132300.

The previous prime is 13123132273. The next prime is 13123132327. The reversal of 13123132301 is 10323132131.

13123132301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11669616676 + 1453515625 = 108026^2 + 38125^2 .

It is a cyclic number.

It is not a de Polignac number, because 13123132301 - 2¹⁴ = 13123115917 is a prime.

It is a super-3 number, since 3×13123132301³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13123132331) 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 as a sum of consecutive naturals, namely, 6561566150 + 6561566151.

It is an arithmetic number, because the mean of its divisors is an integer number (6561566151).

Almost surely, 2^13123132301 is an apocalyptic number.

It is an amenable number.

13123132301 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123132301 is an equidigital number, since it uses as much as digits as its factorization.

13123132301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13123132301 its reverse (10323132131), we get a palindrome (23446264432).

The spelling of 13123132301 in words is "thirteen billion, one hundred twenty-three million, one hundred thirty-two thousand, three hundred one".