41205342125313 has 20 divisors (see below), whose sum is σ = 61747834843860. Its totient is φ = 27383571195552.

The previous prime is 41205342125303. The next prime is 41205342125369. The reversal of 41205342125313 is 31352124350214.

41205342125313 is a `hidden beast` number, since 4 + 1 + 20 + 53 + 42 + 12 + 531 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2238683265729 + 38966658859584 = 1496223^2 + 6242328^2 .

It is not a de Polignac number, because 41205342125313 - 2¹⁷ = 41205341994241 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (41205342125303) 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, 802352758 + ... + 802404111.

It is an arithmetic number, because the mean of its divisors is an integer number (3087391742193).

Almost surely, 2^{41205342125313} is an apocalyptic number.

It is an amenable number.

41205342125313 is a deficient number, since it is larger than the sum of its proper divisors (20542492718547).

41205342125313 is a wasteful number, since it uses less digits than its factorization.

41205342125313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604757198 (or 1604757189 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 41205342125313 its reverse (31352124350214), we get a palindrome (72557466475527).

The spelling of 41205342125313 in words is "forty-one trillion, two hundred five billion, three hundred forty-two million, one hundred twenty-five thousand, three hundred thirteen".