13122420201461 has 2 divisors, whose sum is σ = 13122420201462. Its totient is φ = 13122420201460.

The previous prime is 13122420201437. The next prime is 13122420201463. The reversal of 13122420201461 is 16410202422131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12026642523025 + 1095777678436 = 3467945^2 + 1046794^2 .

It is a cyclic number.

It is not a de Polignac number, because 13122420201461 - 2³⁴ = 13105240332277 is a prime.

Together with 13122420201463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13122420201463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561210100730 + 6561210100731.

It is an arithmetic number, because the mean of its divisors is an integer number (6561210100731).

Almost surely, 2^{13122420201461} is an apocalyptic number.

It is an amenable number.

13122420201461 is a deficient number, since it is larger than the sum of its proper divisors (1).

13122420201461 is an equidigital number, since it uses as much as digits as its factorization.

13122420201461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 13122420201461 its reverse (16410202422131), we get a palindrome (29532622623592).

The spelling of 13122420201461 in words is "thirteen trillion, one hundred twenty-two billion, four hundred twenty million, two hundred one thousand, four hundred sixty-one".