101431403417 has 2 divisors, whose sum is σ = 101431403418. Its totient is φ = 101431403416.

The previous prime is 101431403369. The next prime is 101431403419. The reversal of 101431403417 is 714304134101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56851726096 + 44579677321 = 238436^2 + 211139^2 .

It is a cyclic number.

It is not a de Polignac number, because 101431403417 - 2¹⁰ = 101431402393 is a prime.

Together with 101431403419, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101431403417.

It is not a weakly prime, because it can be changed into another prime (101431403419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50715701708 + 50715701709.

It is an arithmetic number, because the mean of its divisors is an integer number (50715701709).

Almost surely, 2^101431403417 is an apocalyptic number.

It is an amenable number.

101431403417 is a deficient number, since it is larger than the sum of its proper divisors (1).

101431403417 is an equidigital number, since it uses as much as digits as its factorization.

101431403417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 29.

Adding to 101431403417 its reverse (714304134101), we get a palindrome (815735537518).

The spelling of 101431403417 in words is "one hundred one billion, four hundred thirty-one million, four hundred three thousand, four hundred seventeen".