105713303317501 has 12 divisors (see below), whose sum is σ = 116259504953536. Its totient is φ = 96051528250920.

The previous prime is 105713303317451. The next prime is 105713303317507.

It is a happy number.

105713303317501 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 105713303317501 - 2⁷ = 105713303317373 is a prime.

It is a super-2 number, since 2×105713303317501² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105713303317507) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 233749365 + ... + 234201178.

Almost surely, 2^{105713303317501} is an apocalyptic number.

105713303317501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105713303317501 is a deficient number, since it is larger than the sum of its proper divisors (10546201636035).

105713303317501 is a wasteful number, since it uses less digits than its factorization.

105713303317501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467952432 (or 467952421 counting only the distinct ones).

The product of its (nonzero) digits is 99225, while the sum is 40.

It can be divided in two parts, 10571330 and 3317501, that added together give a palindrome (13888831).

The spelling of 105713303317501 in words is "one hundred five trillion, seven hundred thirteen billion, three hundred three million, three hundred seventeen thousand, five hundred one".