13123410423301 has 2 divisors, whose sum is σ = 13123410423302. Its totient is φ = 13123410423300.

The previous prime is 13123410423293. The next prime is 13123410423311. The reversal of 13123410423301 is 10332401432131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6897063003076 + 6226347420225 = 2626226^2 + 2495265^2 .

It is an emirp because it is prime and its reverse (10332401432131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13123410423301 - 2³ = 13123410423293 is a prime.

It is a super-2 number, since 2×13123410423301² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13123410423301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13123410423311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561705211650 + 6561705211651.

It is an arithmetic number, because the mean of its divisors is an integer number (6561705211651).

Almost surely, 2^{13123410423301} is an apocalyptic number.

It is an amenable number.

13123410423301 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123410423301 is an equidigital number, since it uses as much as digits as its factorization.

13123410423301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 13123410423301 its reverse (10332401432131), we get a palindrome (23455811855432).

The spelling of 13123410423301 in words is "thirteen trillion, one hundred twenty-three billion, four hundred ten million, four hundred twenty-three thousand, three hundred one".