122212013313 has 48 divisors (see below), whose sum is σ = 185676454656. Its totient is φ = 71068147200.

The previous prime is 122212013299. The next prime is 122212013387. The reversal of 122212013313 is 313310212221.

It is not a de Polignac number, because 122212013313 - 2⁸ = 122212013057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122212013313.

It is not an unprimeable number, because it can be changed into a prime (122212012313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5634856 + ... + 5656502.

It is an arithmetic number, because the mean of its divisors is an integer number (3868259472).

Almost surely, 2^122212013313 is an apocalyptic number.

122212013313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122212013313 is a deficient number, since it is larger than the sum of its proper divisors (63464441343).

122212013313 is a wasteful number, since it uses less digits than its factorization.

122212013313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22102 (or 22083 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 122212013313 its reverse (313310212221), we get a palindrome (435522225534).

The spelling of 122212013313 in words is "one hundred twenty-two billion, two hundred twelve million, thirteen thousand, three hundred thirteen".