13321102011101 has 2 divisors, whose sum is σ = 13321102011102. Its totient is φ = 13321102011100.

The previous prime is 13321102011011. The next prime is 13321102011103. The reversal of 13321102011101 is 10111020112331.

Together with previous prime (13321102011011) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12942538685476 + 378563325625 = 3597574^2 + 615275^2 .

It is a cyclic number.

It is not a de Polignac number, because 13321102011101 - 2²² = 13321097816797 is a prime.

Together with 13321102011103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13321102011101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13321102011103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6660551005550 + 6660551005551.

It is an arithmetic number, because the mean of its divisors is an integer number (6660551005551).

Almost surely, 2^{13321102011101} is an apocalyptic number.

It is an amenable number.

13321102011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13321102011101 is an equidigital number, since it uses as much as digits as its factorization.

13321102011101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 13321102011101 its reverse (10111020112331), we get a palindrome (23432122123432).

The spelling of 13321102011101 in words is "thirteen trillion, three hundred twenty-one billion, one hundred two million, eleven thousand, one hundred one".