130120220013 has 32 divisors (see below), whose sum is σ = 210820423680. Its totient is φ = 69687770880.

The previous prime is 130120220003. The next prime is 130120220017. The reversal of 130120220013 is 310022021031.

It is not a de Polignac number, because 130120220013 - 2⁴ = 130120219997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130120219974 and 130120220001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130120220017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677193 + ... + 847838.

It is an arithmetic number, because the mean of its divisors is an integer number (6588138240).

Almost surely, 2^130120220013 is an apocalyptic number.

It is an amenable number.

130120220013 is a deficient number, since it is larger than the sum of its proper divisors (80700203667).

130120220013 is a wasteful number, since it uses less digits than its factorization.

130120220013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525297.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 130120220013 its reverse (310022021031), we get a palindrome (440142241044).

The spelling of 130120220013 in words is "one hundred thirty billion, one hundred twenty million, two hundred twenty thousand, thirteen".