431221313 has 8 divisors (see below), whose sum is σ = 448334880. Its totient is φ = 414421920.

The previous prime is 431221309. The next prime is 431221327. The reversal of 431221313 is 313122134.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 431221313 - 2² = 431221309 is a prime.

It is a super-3 number, since 3×431221313³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (431221363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75743 + ... + 81236.

It is an arithmetic number, because the mean of its divisors is an integer number (56041860).

Almost surely, 2^431221313 is an apocalyptic number.

It is an amenable number.

431221313 is a deficient number, since it is larger than the sum of its proper divisors (17113567).

431221313 is a wasteful number, since it uses less digits than its factorization.

431221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157087.

The product of its digits is 432, while the sum is 20.

The square root of 431221313 is about 20765.8689440148. The cubic root of 431221313 is about 755.4981511374.

Adding to 431221313 its reverse (313122134), we get a palindrome (744343447).

It can be divided in two parts, 43122131 and 3, that added together give a palindrome (43122134).

The spelling of 431221313 in words is "four hundred thirty-one million, two hundred twenty-one thousand, three hundred thirteen".