431401012129 has 2 divisors, whose sum is σ = 431401012130. Its totient is φ = 431401012128.

The previous prime is 431401012093. The next prime is 431401012139. The reversal of 431401012129 is 921210104134.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 372521019025 + 58879993104 = 610345^2 + 242652^2 .

It is a cyclic number.

It is not a de Polignac number, because 431401012129 - 2⁹ = 431401011617 is a prime.

It is a super-2 number, since 2×431401012129² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431401012097 and 431401012106.

It is not a weakly prime, because it can be changed into another prime (431401012139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215700506064 + 215700506065.

It is an arithmetic number, because the mean of its divisors is an integer number (215700506065).

Almost surely, 2^431401012129 is an apocalyptic number.

It is an amenable number.

431401012129 is a deficient number, since it is larger than the sum of its proper divisors (1).

431401012129 is an equidigital number, since it uses as much as digits as its factorization.

431401012129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 431401012129 in words is "four hundred thirty-one billion, four hundred one million, twelve thousand, one hundred twenty-nine".