431313214121201 has 8 divisors (see below), whose sum is σ = 441839341806408. Its totient is φ = 420787386112000.

The previous prime is 431313214121191. The next prime is 431313214121213. The reversal of 431313214121201 is 102121412313134.

It can be written as a sum of positive squares in 4 ways, for example, as 55682339443600 + 375630874677601 = 7462060^2 + 19381199^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-431313214121201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (431313214123201) 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, 72003980 + ... + 77763741.

It is an arithmetic number, because the mean of its divisors is an integer number (55229917725801).

Almost surely, 2^{431313214121201} is an apocalyptic number.

431313214121201 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

431313214121201 is a deficient number, since it is larger than the sum of its proper divisors (10526127685207).

431313214121201 is a wasteful number, since it uses less digits than its factorization.

431313214121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149838003.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 431313214121201 its reverse (102121412313134), we get a palindrome (533434626434335).

The spelling of 431313214121201 in words is "four hundred thirty-one trillion, three hundred thirteen billion, two hundred fourteen million, one hundred twenty-one thousand, two hundred one".