4101313221 has 12 divisors (see below), whose sum is σ = 5927240748. Its totient is φ = 2732768064.

The previous prime is 4101313217. The next prime is 4101313231. The reversal of 4101313221 is 1223131014.

4101313221 is a `hidden beast` number, since 410 + 1 + 31 + 3 + 221 = 666.

4101313221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2709202500 + 1392110721 = 52050^2 + 37311^2 .

It is not a de Polignac number, because 4101313221 - 2² = 4101313217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4101313194 and 4101313203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101313231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101890 + ... + 136323.

It is an arithmetic number, because the mean of its divisors is an integer number (493936729).

Almost surely, 2^4101313221 is an apocalyptic number.

It is an amenable number.

4101313221 is a deficient number, since it is larger than the sum of its proper divisors (1825927527).

4101313221 is a wasteful number, since it uses less digits than its factorization.

4101313221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240132 (or 240129 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4101313221 is about 64041.4960865219. The cubic root of 4101313221 is about 1600.6915267272.

Adding to 4101313221 its reverse (1223131014), we get a palindrome (5324444235).

The spelling of 4101313221 in words is "four billion, one hundred one million, three hundred thirteen thousand, two hundred twenty-one".