13300113211201 has 2 divisors, whose sum is σ = 13300113211202. Its totient is φ = 13300113211200.

The previous prime is 13300113211199. The next prime is 13300113211213. The reversal of 13300113211201 is 10211231100331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12704555279025 + 595557932176 = 3564345^2 + 771724^2 .

It is a cyclic number.

It is not a de Polignac number, because 13300113211201 - 2¹ = 13300113211199 is a prime.

It is a super-2 number, since 2×13300113211201² (a number of 27 digits) contains 22 as substring.

Together with 13300113211199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13300113215201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650056605600 + 6650056605601.

It is an arithmetic number, because the mean of its divisors is an integer number (6650056605601).

Almost surely, 2^{13300113211201} is an apocalyptic number.

It is an amenable number.

13300113211201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13300113211201 is an equidigital number, since it uses as much as digits as its factorization.

13300113211201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 13300113211201 its reverse (10211231100331), we get a palindrome (23511344311532).

The spelling of 13300113211201 in words is "thirteen trillion, three hundred billion, one hundred thirteen million, two hundred eleven thousand, two hundred one".