221313313122 has 32 divisors (see below), whose sum is σ = 487646270784. Its totient is φ = 66400632000.

The previous prime is 221313313121. The next prime is 221313313141.

221313313122 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 221313313092 and 221313313101.

It is not an unprimeable number, because it can be changed into a prime (221313313121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16593493 + ... + 16606824.

It is an arithmetic number, because the mean of its divisors is an integer number (15238945962).

Almost surely, 2^221313313122 is an apocalyptic number.

221313313122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221313313122 is an abundant number, since it is smaller than the sum of its proper divisors (266332957662).

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

221313313122 is a wasteful number, since it uses less digits than its factorization.

221313313122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33200434.

The product of its digits is 1296, while the sum is 24.

It can be divided in two parts, 221313 and 313122, that added together give a palindrome (534435).

The spelling of 221313313122 in words is "two hundred twenty-one billion, three hundred thirteen million, three hundred thirteen thousand, one hundred twenty-two".