13022201300153 has 2 divisors, whose sum is σ = 13022201300154. Its totient is φ = 13022201300152.

The previous prime is 13022201300071. The next prime is 13022201300161. The reversal of 13022201300153 is 35100310222031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13022188825129 + 12475024 = 3608627^2 + 3532^2 .

It is a cyclic number.

It is not a de Polignac number, because 13022201300153 - 2¹⁴ = 13022201283769 is a prime.

It is not a weakly prime, because it can be changed into another prime (13022201300183) 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, 6511100650076 + 6511100650077.

It is an arithmetic number, because the mean of its divisors is an integer number (6511100650077).

Almost surely, 2^{13022201300153} is an apocalyptic number.

It is an amenable number.

13022201300153 is a deficient number, since it is larger than the sum of its proper divisors (1).

13022201300153 is an equidigital number, since it uses as much as digits as its factorization.

13022201300153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 13022201300153 its reverse (35100310222031), we get a palindrome (48122511522184).

The spelling of 13022201300153 in words is "thirteen trillion, twenty-two billion, two hundred one million, three hundred thousand, one hundred fifty-three".