105334443220513 has 16 divisors (see below), whose sum is σ = 113480026531200. Its totient is φ = 97194995913600.

The previous prime is 105334443220483. The next prime is 105334443220553. The reversal of 105334443220513 is 315022344433501.

It is a de Polignac number, because none of the positive numbers 2^k-105334443220513 is a prime.

It is a super-2 number, since 2×105334443220513² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105334443220553) 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, 1849534188 + ... + 1849591138.

It is an arithmetic number, because the mean of its divisors is an integer number (7092501658200).

Almost surely, 2^{105334443220513} is an apocalyptic number.

105334443220513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105334443220513 is a deficient number, since it is larger than the sum of its proper divisors (8145583310687).

105334443220513 is a wasteful number, since it uses less digits than its factorization.

105334443220513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108312.

The product of its (nonzero) digits is 518400, while the sum is 40.

The spelling of 105334443220513 in words is "one hundred five trillion, three hundred thirty-four billion, four hundred forty-three million, two hundred twenty thousand, five hundred thirteen".