10613444431601 has 16 divisors (see below), whose sum is σ = 12256102647360. Its totient is φ = 9099227699520.

The previous prime is 10613444431477. The next prime is 10613444431621.

10613444431601 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10613444431601 - 2¹⁰ = 10613444430577 is a prime.

It is a super-2 number, since 2×10613444431601² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10613444431621) 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, 386858210 + ... + 386885643.

It is an arithmetic number, because the mean of its divisors is an integer number (766006415460).

Almost surely, 2^{10613444431601} is an apocalyptic number.

10613444431601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10613444431601 is a deficient number, since it is larger than the sum of its proper divisors (1642658215759).

10613444431601 is a wasteful number, since it uses less digits than its factorization.

10613444431601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773743936.

The product of its (nonzero) digits is 82944, while the sum is 38.

It can be divided in two parts, 1061344 and 4431601, that added together give a palindrome (5492945).

The spelling of 10613444431601 in words is "ten trillion, six hundred thirteen billion, four hundred forty-four million, four hundred thirty-one thousand, six hundred one".