101631331289 has 2 divisors, whose sum is σ = 101631331290. Its totient is φ = 101631331288.

The previous prime is 101631331253. The next prime is 101631331327. The reversal of 101631331289 is 982133136101.

It is an a-pointer prime, because the next prime (101631331327) can be obtained adding 101631331289 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63168276889 + 38463054400 = 251333^2 + 196120^2 .

It is a cyclic number.

It is not a de Polignac number, because 101631331289 - 2⁸ = 101631331033 is a prime.

It is not a weakly prime, because it can be changed into another prime (101631331589) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50815665644 + 50815665645.

It is an arithmetic number, because the mean of its divisors is an integer number (50815665645).

Almost surely, 2^101631331289 is an apocalyptic number.

It is an amenable number.

101631331289 is a deficient number, since it is larger than the sum of its proper divisors (1).

101631331289 is an equidigital number, since it uses as much as digits as its factorization.

101631331289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 38.

The spelling of 101631331289 in words is "one hundred one billion, six hundred thirty-one million, three hundred thirty-one thousand, two hundred eighty-nine".