113213321221 has 96 divisors (see below), whose sum is σ = 156973593600. Its totient is φ = 79261079040.

The previous prime is 113213321213. The next prime is 113213321233. The reversal of 113213321221 is 122123312311.

It is not a de Polignac number, because 113213321221 - 2³ = 113213321213 is a prime.

It is a super-2 number, since 2×113213321221² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113213321192 and 113213321201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113213321281) 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 95 ways as a sum of consecutive naturals, for example, 77595790 + ... + 77597248.

It is an arithmetic number, because the mean of its divisors is an integer number (1635141600).

Almost surely, 2^113213321221 is an apocalyptic number.

113213321221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113213321221 is a deficient number, since it is larger than the sum of its proper divisors (43760272379).

113213321221 is a wasteful number, since it uses less digits than its factorization.

113213321221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1646 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

Adding to 113213321221 its reverse (122123312311), we get a palindrome (235336633532).

It can be divided in two parts, 113213 and 321221, that added together give a palindrome (434434).

The spelling of 113213321221 in words is "one hundred thirteen billion, two hundred thirteen million, three hundred twenty-one thousand, two hundred twenty-one".