10500506051113 has 8 divisors (see below), whose sum is σ = 11312124654600. Its totient is φ = 9689442786048.

The previous prime is 10500506051111. The next prime is 10500506051177. The reversal of 10500506051113 is 31115060500501.

It can be written as a sum of positive squares in 4 ways, for example, as 177985265689 + 10322520785424 = 421883^2 + 3212868^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10500506051113 - 2¹ = 10500506051111 is a prime.

It is a super-2 number, since 2×10500506051113² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10500506051111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138795328 + ... + 138870961.

It is an arithmetic number, because the mean of its divisors is an integer number (1414015581825).

Almost surely, 2^{10500506051113} is an apocalyptic number.

10500506051113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10500506051113 is a deficient number, since it is larger than the sum of its proper divisors (811618603487).

10500506051113 is a wasteful number, since it uses less digits than its factorization.

10500506051113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277669211.

The product of its (nonzero) digits is 2250, while the sum is 28.

Adding to 10500506051113 its reverse (31115060500501), we get a palindrome (41615566551614).

The spelling of 10500506051113 in words is "ten trillion, five hundred billion, five hundred six million, fifty-one thousand, one hundred thirteen".