130013301210 has 128 divisors (see below), whose sum is σ = 340623360000. Its totient is φ = 31567041792.

The previous prime is 130013301191. The next prime is 130013301227. The reversal of 130013301210 is 12103310031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 130013301210.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 54193591 + ... + 54195989.

It is an arithmetic number, because the mean of its divisors is an integer number (2661120000).

Almost surely, 2^130013301210 is an apocalyptic number.

130013301210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130013301210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170311680000).

130013301210 is an abundant number, since it is smaller than the sum of its proper divisors (210610058790).

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

130013301210 is a wasteful number, since it uses less digits than its factorization.

130013301210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4260.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 130013301210 its reverse (12103310031), we get a palindrome (142116611241).

The spelling of 130013301210 in words is "one hundred thirty billion, thirteen million, three hundred one thousand, two hundred ten".