105513332433 has 12 divisors (see below), whose sum is σ = 144199468944. Its totient is φ = 68626554400.

The previous prime is 105513332389. The next prime is 105513332443. The reversal of 105513332433 is 334233315501.

It is not a de Polignac number, because 105513332433 - 2²⁰ = 105512283857 is a prime.

It is a super-4 number, since 4×105513332433⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105513332394 and 105513332403.

It is not an unprimeable number, because it can be changed into a prime (105513332443) 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 11 ways as a sum of consecutive naturals, for example, 10456323 + ... + 10466408.

It is an arithmetic number, because the mean of its divisors is an integer number (12016622412).

Almost surely, 2^105513332433 is an apocalyptic number.

It is an amenable number.

105513332433 is a deficient number, since it is larger than the sum of its proper divisors (38686136511).

105513332433 is an equidigital number, since it uses as much as digits as its factorization.

105513332433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20922816 (or 20922775 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 33.

Adding to 105513332433 its reverse (334233315501), we get a palindrome (439746647934).

The spelling of 105513332433 in words is "one hundred five billion, five hundred thirteen million, three hundred thirty-two thousand, four hundred thirty-three".