10345522113 has 12 divisors (see below), whose sum is σ = 15148238820. Its totient is φ = 6802534656.

The previous prime is 10345522093. The next prime is 10345522129. The reversal of 10345522113 is 31122554301.

10345522113 is a `hidden beast` number, since 103 + 4 + 552 + 2 + 1 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4852933569 + 5492588544 = 69663^2 + 74112^2 .

It is not a de Polignac number, because 10345522113 - 2¹⁰ = 10345521089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10345522133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7872648 + ... + 7873961.

It is an arithmetic number, because the mean of its divisors is an integer number (1262353235).

Almost surely, 2^10345522113 is an apocalyptic number.

It is an amenable number.

10345522113 is a deficient number, since it is larger than the sum of its proper divisors (4802716707).

10345522113 is a wasteful number, since it uses less digits than its factorization.

10345522113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15746688 (or 15746685 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 10345522113 in words is "ten billion, three hundred forty-five million, five hundred twenty-two thousand, one hundred thirteen".