101100033113309 has 16 divisors (see below), whose sum is σ = 101289646822320. Its totient is φ = 100910618449920.

The previous prime is 101100033113293. The next prime is 101100033113327. The reversal of 101100033113309 is 903311330001101.

It can be written as a sum of positive squares in 8 ways, for example, as 719872493209 + 100380160620100 = 848453^2 + 10018990^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100033113309 - 2⁴ = 101100033113293 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100033118309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11322655757 + ... + 11322664685.

It is an arithmetic number, because the mean of its divisors is an integer number (6330602926395).

Almost surely, 2^{101100033113309} is an apocalyptic number.

It is an amenable number.

101100033113309 is a deficient number, since it is larger than the sum of its proper divisors (189613709011).

101100033113309 is an equidigital number, since it uses as much as digits as its factorization.

101100033113309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17840.

The product of its (nonzero) digits is 729, while the sum is 26.

The spelling of 101100033113309 in words is "one hundred one trillion, one hundred billion, thirty-three million, one hundred thirteen thousand, three hundred nine".