10513126161 has 20 divisors (see below), whose sum is σ = 15970983600. Its totient is φ = 6889955256.

The previous prime is 10513126103. The next prime is 10513126187. The reversal of 10513126161 is 16162131501.

10513126161 is a `hidden beast` number, since 10 + 5 + 1 + 31 + 2 + 616 + 1 = 666.

It is not a de Polignac number, because 10513126161 - 2¹⁰ = 10513125137 is a prime.

It is a super-2 number, since 2×10513126161² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10513126061) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1095151 + ... + 1104708.

It is an arithmetic number, because the mean of its divisors is an integer number (798549180).

Almost surely, 2^10513126161 is an apocalyptic number.

It is an amenable number.

10513126161 is a deficient number, since it is larger than the sum of its proper divisors (5457857439).

10513126161 is an equidigital number, since it uses as much as digits as its factorization.

10513126161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199930 (or 2199921 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 10513126161 its reverse (16162131501), we get a palindrome (26675257662).

The spelling of 10513126161 in words is "ten billion, five hundred thirteen million, one hundred twenty-six thousand, one hundred sixty-one".