122103232221313 has 64 divisors (see below), whose sum is σ = 148781293240320. Its totient is φ = 98023166841600.

The previous prime is 122103232221293. The next prime is 122103232221361. The reversal of 122103232221313 is 313122232301221.

It is a de Polignac number, because none of the positive numbers 2^k-122103232221313 is a prime.

It is a super-3 number, since 3×122103232221313³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122103232221613) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210277531 + ... + 210857407.

It is an arithmetic number, because the mean of its divisors is an integer number (2324707706880).

Almost surely, 2^{122103232221313} is an apocalyptic number.

It is an amenable number.

122103232221313 is a deficient number, since it is larger than the sum of its proper divisors (26678061019007).

122103232221313 is a wasteful number, since it uses less digits than its factorization.

122103232221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580238.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 122103232221313 its reverse (313122232301221), we get a palindrome (435225464522534).

The spelling of 122103232221313 in words is "one hundred twenty-two trillion, one hundred three billion, two hundred thirty-two million, two hundred twenty-one thousand, three hundred thirteen".