13211201010101 has 2 divisors, whose sum is σ = 13211201010102. Its totient is φ = 13211201010100.

The previous prime is 13211201010067. The next prime is 13211201010103. The reversal of 13211201010101 is 10101010211231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12989572851025 + 221628159076 = 3604105^2 + 470774^2 .

It is a cyclic number.

It is not a de Polignac number, because 13211201010101 - 2²⁶ = 13211133901237 is a prime.

Together with 13211201010103, it forms a pair of twin primes.

It is a Chen prime.

13211201010101 is a modest number, since divided by 1010101 gives 132112 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13211201010103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6605600505050 + 6605600505051.

It is an arithmetic number, because the mean of its divisors is an integer number (6605600505051).

Almost surely, 2^{13211201010101} is an apocalyptic number.

It is an amenable number.

13211201010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13211201010101 is an equidigital number, since it uses as much as digits as its factorization.

13211201010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 13211201010101 its reverse (10101010211231), we get a palindrome (23312211221332).

The spelling of 13211201010101 in words is "thirteen trillion, two hundred eleven billion, two hundred one million, ten thousand, one hundred one".