13755880213 has 32 divisors (see below), whose sum is σ = 14917795200. Its totient is φ = 12658464000.

The previous prime is 13755880207. The next prime is 13755880217. The reversal of 13755880213 is 31208855731.

13755880213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13755880213 - 2¹⁷ = 13755749141 is a prime.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13755880213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13755880217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10572663 + ... + 10573963.

It is an arithmetic number, because the mean of its divisors is an integer number (466181100).

Almost surely, 2^13755880213 is an apocalyptic number.

It is an amenable number.

13755880213 is a deficient number, since it is larger than the sum of its proper divisors (1161914987).

13755880213 is a wasteful number, since it uses less digits than its factorization.

13755880213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573.

The product of its (nonzero) digits is 201600, while the sum is 43.

The spelling of 13755880213 in words is "thirteen billion, seven hundred fifty-five million, eight hundred eighty thousand, two hundred thirteen".