4133120410313 has 8 divisors (see below), whose sum is σ = 4159659209160. Its totient is φ = 4106584310400.

The previous prime is 4133120410297. The next prime is 4133120410387. The reversal of 4133120410313 is 3130140213314.

It can be written as a sum of positive squares in 4 ways, for example, as 320953974784 + 3812166435529 = 566528^2 + 1952477^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4133120410313 - 2⁴ = 4133120410297 is a prime.

It is a super-2 number, since 2×4133120410313² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4133120410213) 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 7 ways as a sum of consecutive naturals, for example, 2444003 + ... + 3773511.

It is an arithmetic number, because the mean of its divisors is an integer number (519957401145).

Almost surely, 2^{4133120410313} is an apocalyptic number.

It is an amenable number.

4133120410313 is a deficient number, since it is larger than the sum of its proper divisors (26538798847).

4133120410313 is a wasteful number, since it uses less digits than its factorization.

4133120410313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349467.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 4133120410313 its reverse (3130140213314), we get a palindrome (7263260623627).

The spelling of 4133120410313 in words is "four trillion, one hundred thirty-three billion, one hundred twenty million, four hundred ten thousand, three hundred thirteen".