431114234122001 has 16 divisors (see below), whose sum is σ = 436467020129280. Its totient is φ = 425780899315200.

The previous prime is 431114234121973. The next prime is 431114234122003. The reversal of 431114234122001 is 100221432411134.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-431114234122001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (431114234122003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88192151 + ... + 92952051.

It is an arithmetic number, because the mean of its divisors is an integer number (27279188758080).

Almost surely, 2^{431114234122001} is an apocalyptic number.

It is an amenable number.

431114234122001 is a deficient number, since it is larger than the sum of its proper divisors (5352786007279).

431114234122001 is a wasteful number, since it uses less digits than its factorization.

431114234122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761944.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 431114234122001 its reverse (100221432411134), we get a palindrome (531335666533135).

The spelling of 431114234122001 in words is "four hundred thirty-one trillion, one hundred fourteen billion, two hundred thirty-four million, one hundred twenty-two thousand, one".