13213102213122 has 64 divisors (see below), whose sum is σ = 30702863843328. Its totient is φ = 3712511880000.

The previous prime is 13213102213121. The next prime is 13213102213123. The reversal of 13213102213122 is 22131220131231.

It is an interprime number because it is at equal distance from previous prime (13213102213121) and next prime (13213102213123).

It is a junction number, because it is equal to n+sod(n) for n = 13213102213092 and 13213102213101.

It is not an unprimeable number, because it can be changed into a prime (13213102213121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11843247 + ... + 12910797.

It is an arithmetic number, because the mean of its divisors is an integer number (479732247552).

Almost surely, 2^{13213102213122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13213102213122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15351431921664).

13213102213122 is an abundant number, since it is smaller than the sum of its proper divisors (17489761630206).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13213102213122 is a wasteful number, since it uses less digits than its factorization.

13213102213122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072455.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13213102213122 its reverse (22131220131231), we get a palindrome (35344322344353).

The spelling of 13213102213122 in words is "thirteen trillion, two hundred thirteen billion, one hundred two million, two hundred thirteen thousand, one hundred twenty-two".