122213311013313 has 64 divisors (see below), whose sum is σ = 195541114961920. Its totient is φ = 74993435171136.

The previous prime is 122213311013273. The next prime is 122213311013363. The reversal of 122213311013313 is 313310113312221.

122213311013313 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 1 + 331 + 1 + 0 + 13 + 313 = 666.

It is not a de Polignac number, because 122213311013313 - 2¹² = 122213311009217 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 (122213311013363) 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 63 ways as a sum of consecutive naturals, for example, 1051990356 + ... + 1052106522.

It is an arithmetic number, because the mean of its divisors is an integer number (3055329921280).

Almost surely, 2^{122213311013313} is an apocalyptic number.

122213311013313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122213311013313 is a deficient number, since it is larger than the sum of its proper divisors (73327803948607).

122213311013313 is a wasteful number, since it uses less digits than its factorization.

122213311013313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124723 (or 124717 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 122213311013313 its reverse (313310113312221), we get a palindrome (435523424325534).

The spelling of 122213311013313 in words is "one hundred twenty-two trillion, two hundred thirteen billion, three hundred eleven million, thirteen thousand, three hundred thirteen".