13102211112211 has 16 divisors (see below), whose sum is σ = 14257946656800. Its totient is φ = 11967642436608.

The previous prime is 13102211112149. The next prime is 13102211112239. The reversal of 13102211112211 is 11221111220131.

It is a cyclic number.

It is not a de Polignac number, because 13102211112211 - 2¹⁵ = 13102211079443 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13102211112611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6614325 + ... + 8363833.

It is an arithmetic number, because the mean of its divisors is an integer number (891121666050).

Almost surely, 2^{13102211112211} is an apocalyptic number.

13102211112211 is a deficient number, since it is larger than the sum of its proper divisors (1155735544589).

13102211112211 is a wasteful number, since it uses less digits than its factorization.

13102211112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755558.

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 13102211112211 its reverse (11221111220131), we get a palindrome (24323322332342).

The spelling of 13102211112211 in words is "thirteen trillion, one hundred two billion, two hundred eleven million, one hundred twelve thousand, two hundred eleven".