431220113 has 8 divisors (see below), whose sum is σ = 458149608. Its totient is φ = 404464384.

The previous prime is 431220059. The next prime is 431220121. The reversal of 431220113 is 311022134.

It can be written as a sum of positive squares in 4 ways, for example, as 129572689 + 301647424 = 11383^2 + 17368^2 .

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 431220113 - 2¹² = 431216017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 431220091 and 431220100.

It is not an unprimeable number, because it can be changed into a prime (431220313) 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, 38306 + ... + 48267.

It is an arithmetic number, because the mean of its divisors is an integer number (57268701).

Almost surely, 2^431220113 is an apocalyptic number.

It is an amenable number.

431220113 is a deficient number, since it is larger than the sum of its proper divisors (26929495).

431220113 is a wasteful number, since it uses less digits than its factorization.

431220113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86883.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 431220113 is about 20765.8400504290. The cubic root of 431220113 is about 755.4974503382.

Adding to 431220113 its reverse (311022134), we get a palindrome (742242247).

The spelling of 431220113 in words is "four hundred thirty-one million, two hundred twenty thousand, one hundred thirteen".