431401121093 has 2 divisors, whose sum is σ = 431401121094. Its totient is φ = 431401121092.

The previous prime is 431401121069. The next prime is 431401121113. The reversal of 431401121093 is 390121104134.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 289511791969 + 141889329124 = 538063^2 + 376682^2 .

It is a cyclic number.

It is not a de Polignac number, because 431401121093 - 2²⁰ = 431400072517 is a prime.

It is a super-2 number, since 2×431401121093² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (431401421093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215700560546 + 215700560547.

It is an arithmetic number, because the mean of its divisors is an integer number (215700560547).

Almost surely, 2^431401121093 is an apocalyptic number.

It is an amenable number.

431401121093 is a deficient number, since it is larger than the sum of its proper divisors (1).

431401121093 is an equidigital number, since it uses as much as digits as its factorization.

431401121093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 431401121093 in words is "four hundred thirty-one billion, four hundred one million, one hundred twenty-one thousand, ninety-three".