130053113 has 12 divisors (see below), whose sum is σ = 136818468. Its totient is φ = 123530400.

The previous prime is 130053061. The next prime is 130053127. The reversal of 130053113 is 311350031.

It can be written as a sum of positive squares in 2 ways, for example, as 62599744 + 67453369 = 7912^2 + 8213^2 .

It is a de Polignac number, because none of the positive numbers 2^k-130053113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130053091 and 130053100.

It is not an unprimeable number, because it can be changed into a prime (130053173) 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, 67463 + ... + 69363.

It is an arithmetic number, because the mean of its divisors is an integer number (11401539).

Almost surely, 2^130053113 is an apocalyptic number.

It is an amenable number.

130053113 is a deficient number, since it is larger than the sum of its proper divisors (6765355).

130053113 is an equidigital number, since it uses as much as digits as its factorization.

130053113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 130053113 is about 11404.0831722677. The cubic root of 130053113 is about 506.6486821775.

The spelling of 130053113 in words is "one hundred thirty million, fifty-three thousand, one hundred thirteen".