13311100212001 has 2 divisors, whose sum is σ = 13311100212002. Its totient is φ = 13311100212000.

The previous prime is 13311100211987. The next prime is 13311100212041. The reversal of 13311100212001 is 10021200111331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8892174900625 + 4418925311376 = 2981975^2 + 2102124^2 .

It is a cyclic number.

It is not a de Polignac number, because 13311100212001 - 2⁷ = 13311100211873 is a prime.

It is not a weakly prime, because it can be changed into another prime (13311100212041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6655550106000 + 6655550106001.

It is an arithmetic number, because the mean of its divisors is an integer number (6655550106001).

Almost surely, 2^{13311100212001} is an apocalyptic number.

It is an amenable number.

13311100212001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13311100212001 is an equidigital number, since it uses as much as digits as its factorization.

13311100212001 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 16.

Adding to 13311100212001 its reverse (10021200111331), we get a palindrome (23332300323332).

The spelling of 13311100212001 in words is "thirteen trillion, three hundred eleven billion, one hundred million, two hundred twelve thousand, one".