113011221321 has 24 divisors (see below), whose sum is σ = 167899722120. Its totient is φ = 73195508736.

The previous prime is 113011221319. The next prime is 113011221341. The reversal of 113011221321 is 123122110311.

113011221321 is a `hidden beast` number, since 11 + 301 + 12 + 21 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70052855625 + 42958365696 = 264675^2 + 207264^2 .

It is not a de Polignac number, because 113011221321 - 2¹ = 113011221319 is a prime.

It is a super-2 number, since 2×113011221321² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113011221294 and 113011221303.

It is not an unprimeable number, because it can be changed into a prime (113011221341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28026 + ... + 476243.

It is an arithmetic number, because the mean of its divisors is an integer number (6995821755).

Almost surely, 2^113011221321 is an apocalyptic number.

It is an amenable number.

113011221321 is a deficient number, since it is larger than the sum of its proper divisors (54888500799).

113011221321 is a wasteful number, since it uses less digits than its factorization.

113011221321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504985 (or 504982 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 113011221321 its reverse (123122110311), we get a palindrome (236133331632).

The spelling of 113011221321 in words is "one hundred thirteen billion, eleven million, two hundred twenty-one thousand, three hundred twenty-one".