13033121202009 has 20 divisors (see below), whose sum is σ = 19470732757476. Its totient is φ = 8688077011296.

The previous prime is 13033121201993. The next prime is 13033121202043. The reversal of 13033121202009 is 90020212133031.

13033121202009 is a `hidden beast` number, since 1 + 3 + 0 + 331 + 2 + 120 + 200 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6317782790400 + 6715338411609 = 2513520^2 + 2591397^2 .

It is not a de Polignac number, because 13033121202009 - 2⁴ = 13033121201993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13033121202809) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5150634 + ... + 7252259.

Almost surely, 2^{13033121202009} is an apocalyptic number.

It is an amenable number.

13033121202009 is a deficient number, since it is larger than the sum of its proper divisors (6437611555467).

13033121202009 is a wasteful number, since it uses less digits than its factorization.

13033121202009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12415878 (or 12415869 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 13033121202009 in words is "thirteen trillion, thirty-three billion, one hundred twenty-one million, two hundred two thousand, nine".