10616411313 has 16 divisors (see below), whose sum is σ = 15729609600. Its totient is φ = 7076890800.

The previous prime is 10616411213. The next prime is 10616411317. The reversal of 10616411313 is 31311461601.

10616411313 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 641 + 1 + 3 + 13 = 666.

It is not a de Polignac number, because 10616411313 - 2¹⁰ = 10616410289 is a prime.

It is a super-2 number, since 2×10616411313² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10616411317) 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, 478363 + ... + 500063.

It is an arithmetic number, because the mean of its divisors is an integer number (983100600).

Almost surely, 2^10616411313 is an apocalyptic number.

It is an amenable number.

10616411313 is a deficient number, since it is larger than the sum of its proper divisors (5113198287).

10616411313 is a wasteful number, since it uses less digits than its factorization.

10616411313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39829 (or 39823 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 10616411313 its reverse (31311461601), we get a palindrome (41927872914).

The spelling of 10616411313 in words is "ten billion, six hundred sixteen million, four hundred eleven thousand, three hundred thirteen".