13105641633 has 32 divisors (see below), whose sum is σ = 21098741760. Its totient is φ = 7076838720.

The previous prime is 13105641589. The next prime is 13105641667. The reversal of 13105641633 is 33614650131.

It is not a de Polignac number, because 13105641633 - 2¹⁸ = 13105379489 is a prime.

It is a super-2 number, since 2×13105641633² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13105641594 and 13105641603.

It is not an unprimeable number, because it can be changed into a prime (13105641673) 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 31 ways as a sum of consecutive naturals, for example, 200313 + ... + 257558.

It is an arithmetic number, because the mean of its divisors is an integer number (659335680).

Almost surely, 2^13105641633 is an apocalyptic number.

It is an amenable number.

13105641633 is a deficient number, since it is larger than the sum of its proper divisors (7993100127).

13105641633 is a wasteful number, since it uses less digits than its factorization.

13105641633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457957.

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 13105641633 in words is "thirteen billion, one hundred five million, six hundred forty-one thousand, six hundred thirty-three".