101331409 has 2 divisors, whose sum is σ = 101331410. Its totient is φ = 101331408.

The previous prime is 101331383. The next prime is 101331437. The reversal of 101331409 is 904133101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99440784 + 1890625 = 9972^2 + 1375^2 .

It is a cyclic number.

It is not a de Polignac number, because 101331409 - 2¹³ = 101323217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101331409.

It is not a weakly prime, because it can be changed into another prime (101331449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665704 + 50665705.

It is an arithmetic number, because the mean of its divisors is an integer number (50665705).

Almost surely, 2^101331409 is an apocalyptic number.

It is an amenable number.

101331409 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331409 is an equidigital number, since it uses as much as digits as its factorization.

101331409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 101331409 is about 10066.3503316743. The cubic root of 101331409 is about 466.2097593131.

The spelling of 101331409 in words is "one hundred one million, three hundred thirty-one thousand, four hundred nine".