431211133220401 has 8 divisors (see below), whose sum is σ = 441128393173160. Its totient is φ = 421402258622592.

The previous prime is 431211133220393. The next prime is 431211133220419. The reversal of 431211133220401 is 104022331112134.

It can be written as a sum of positive squares in 4 ways, for example, as 103959415210401 + 327251718010000 = 10196049^2 + 18090100^2 .

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 431211133220401 - 2³ = 431211133220393 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 431211133220401.

It is not an unprimeable number, because it can be changed into a prime (431211133220431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27096330690 + ... + 27096346603.

It is an arithmetic number, because the mean of its divisors is an integer number (55141049146645).

Almost surely, 2^{431211133220401} is an apocalyptic number.

It is an amenable number.

431211133220401 is a deficient number, since it is larger than the sum of its proper divisors (9917259952759).

431211133220401 is a wasteful number, since it uses less digits than its factorization.

431211133220401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54192677475.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 431211133220401 its reverse (104022331112134), we get a palindrome (535233464332535).

The spelling of 431211133220401 in words is "four hundred thirty-one trillion, two hundred eleven billion, one hundred thirty-three million, two hundred twenty thousand, four hundred one".