101431134073 has 2 divisors, whose sum is σ = 101431134074. Its totient is φ = 101431134072.

The previous prime is 101431134029. The next prime is 101431134127. The reversal of 101431134073 is 370431134101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97676876089 + 3754257984 = 312533^2 + 61272^2 .

It is a cyclic number.

It is not a de Polignac number, because 101431134073 - 2²⁵ = 101397579641 is a prime.

It is not a weakly prime, because it can be changed into another prime (101431134023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50715567036 + 50715567037.

It is an arithmetic number, because the mean of its divisors is an integer number (50715567037).

Almost surely, 2^101431134073 is an apocalyptic number.

It is an amenable number.

101431134073 is a deficient number, since it is larger than the sum of its proper divisors (1).

101431134073 is an equidigital number, since it uses as much as digits as its factorization.

101431134073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 28.

Adding to 101431134073 its sum of digits (28), we get a palindrome (101431134101).

Adding to 101431134073 its reverse (370431134101), we get a palindrome (471862268174).

The spelling of 101431134073 in words is "one hundred one billion, four hundred thirty-one million, one hundred thirty-four thousand, seventy-three".