41033200013 has 16 divisors (see below), whose sum is σ = 45190943280. Its totient is φ = 37023826944.

The previous prime is 41033199989. The next prime is 41033200027. The reversal of 41033200013 is 31000233014.

It is a happy number.

41033200013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1487104969 + 39546095044 = 38563^2 + 198862^2 .

It is not a de Polignac number, because 41033200013 - 2¹⁴ = 41033183629 is a prime.

It is a super-3 number, since 3×41033200013³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41033199964 and 41033200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41033200073) 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, 74645 + ... + 296037.

It is an arithmetic number, because the mean of its divisors is an integer number (2824433955).

Almost surely, 2^41033200013 is an apocalyptic number.

It is an amenable number.

41033200013 is a deficient number, since it is larger than the sum of its proper divisors (4157743267).

41033200013 is a wasteful number, since it uses less digits than its factorization.

41033200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221728.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 41033200013 its reverse (31000233014), we get a palindrome (72033433027).

The spelling of 41033200013 in words is "forty-one billion, thirty-three million, two hundred thousand, thirteen".