10513105121 has 16 divisors (see below), whose sum is σ = 11071547904. Its totient is φ = 9963480384.

The previous prime is 10513105103. The next prime is 10513105123. The reversal of 10513105121 is 12150131501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10513105121 - 2¹⁰ = 10513104097 is a prime.

It is a super-2 number, since 2×10513105121² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10513105093 and 10513105102.

It is not an unprimeable number, because it can be changed into a prime (10513105123) 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 15 ways as a sum of consecutive naturals, for example, 1321271 + ... + 1329203.

It is an arithmetic number, because the mean of its divisors is an integer number (691971744).

Almost surely, 2^10513105121 is an apocalyptic number.

It is an amenable number.

10513105121 is a deficient number, since it is larger than the sum of its proper divisors (558442783).

10513105121 is a wasteful number, since it uses less digits than its factorization.

10513105121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8480.

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 10513105121 its reverse (12150131501), we get a palindrome (22663236622).

The spelling of 10513105121 in words is "ten billion, five hundred thirteen million, one hundred five thousand, one hundred twenty-one".