13122305132211 has 128 divisors (see below), whose sum is σ = 21713446656000. Its totient is φ = 7765984512000.

The previous prime is 13122305132177. The next prime is 13122305132219. The reversal of 13122305132211 is 11223150322131.

13122305132211 is a `hidden beast` number, since 1 + 3 + 1 + 22 + 305 + 1 + 322 + 11 = 666.

It is not a de Polignac number, because 13122305132211 - 2²³ = 13122296743603 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13122305132219) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 901807386 + ... + 901821936.

It is an arithmetic number, because the mean of its divisors is an integer number (169636302000).

Almost surely, 2^{13122305132211} is an apocalyptic number.

13122305132211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13122305132211 is a deficient number, since it is larger than the sum of its proper divisors (8591141523789).

13122305132211 is a wasteful number, since it uses less digits than its factorization.

13122305132211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15082 (or 15076 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 13122305132211 its reverse (11223150322131), we get a palindrome (24345455454342).

The spelling of 13122305132211 in words is "thirteen trillion, one hundred twenty-two billion, three hundred five million, one hundred thirty-two thousand, two hundred eleven".