41200004010313 has 16 divisors (see below), whose sum is σ = 42849577297296. Its totient is φ = 39585661839360.

The previous prime is 41200004010293. The next prime is 41200004010323. The reversal of 41200004010313 is 31301040000214.

41200004010313 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 17129235007504 + 24070769002809 = 4138748^2 + 4906197^2 .

It is a cyclic number.

It is not a de Polignac number, because 41200004010313 - 2¹⁷ = 41200003879241 is a prime.

It is a super-2 number, since 2×41200004010313² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41200004010323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27593406 + ... + 29048167.

It is an arithmetic number, because the mean of its divisors is an integer number (2678098581081).

Almost surely, 2^{41200004010313} is an apocalyptic number.

It is an amenable number.

41200004010313 is a deficient number, since it is larger than the sum of its proper divisors (1649573286983).

41200004010313 is a wasteful number, since it uses less digits than its factorization.

41200004010313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56641884.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 41200004010313 its reverse (31301040000214), we get a palindrome (72501044010527).

The spelling of 41200004010313 in words is "forty-one trillion, two hundred billion, four million, ten thousand, three hundred thirteen".