101431134401 has 2 divisors, whose sum is σ = 101431134402. Its totient is φ = 101431134400.

The previous prime is 101431134397. The next prime is 101431134437. The reversal of 101431134401 is 104431134101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99856632001 + 1574502400 = 316001^2 + 39680^2 .

It is a cyclic number.

It is not a de Polignac number, because 101431134401 - 2² = 101431134397 is a prime.

It is not a weakly prime, because it can be changed into another prime (101431134901) 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, 50715567200 + 50715567201.

It is an arithmetic number, because the mean of its divisors is an integer number (50715567201).

Almost surely, 2^101431134401 is an apocalyptic number.

It is an amenable number.

101431134401 is a deficient number, since it is larger than the sum of its proper divisors (1).

101431134401 is an equidigital number, since it uses as much as digits as its factorization.

101431134401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 101431134401 its reverse (104431134101), we get a palindrome (205862268502).

The spelling of 101431134401 in words is "one hundred one billion, four hundred thirty-one million, one hundred thirty-four thousand, four hundred one".