130013010 has 48 divisors (see below), whose sum is σ = 355829760. Its totient is φ = 32844960.

The previous prime is 130012913. The next prime is 130013011. The reversal of 130013010 is 10310031.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130012983 and 130013001.

It is not an unprimeable number, because it can be changed into a prime (130013011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36306 + ... + 39725.

It is an arithmetic number, because the mean of its divisors is an integer number (7413120).

Almost surely, 2^130013010 is an apocalyptic number.

130013010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130013010 is an abundant number, since it is smaller than the sum of its proper divisors (225816750).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130013010 is a wasteful number, since it uses less digits than its factorization.

130013010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76063 (or 76060 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 130013010 is about 11402.3247629595. The cubic root of 130013010 is about 506.5966003257.

Adding to 130013010 its reverse (10310031), we get a palindrome (140323041).

The spelling of 130013010 in words is "one hundred thirty million, thirteen thousand, ten".