101011001309 has 2 divisors, whose sum is σ = 101011001310. Its totient is φ = 101011001308.

The previous prime is 101011001293. The next prime is 101011001317. The reversal of 101011001309 is 903100110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99636816409 + 1374184900 = 315653^2 + 37070^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011001309 - 2⁴ = 101011001293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011001809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505500654 + 50505500655.

It is an arithmetic number, because the mean of its divisors is an integer number (50505500655).

Almost surely, 2^101011001309 is an apocalyptic number.

It is an amenable number.

101011001309 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011001309 is an equidigital number, since it uses as much as digits as its factorization.

101011001309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 17.

The spelling of 101011001309 in words is "one hundred one billion, eleven million, one thousand, three hundred nine".