130121320013 has 16 divisors (see below), whose sum is σ = 137246653440. Its totient is φ = 123023934000.

The previous prime is 130121319983. The next prime is 130121320037. The reversal of 130121320013 is 310023121031.

It is a cyclic number.

It is not a de Polignac number, because 130121320013 - 2¹² = 130121315917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130121319973 and 130121320000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130121310013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27974738 + ... + 27979388.

It is an arithmetic number, because the mean of its divisors is an integer number (8577915840).

Almost surely, 2^130121320013 is an apocalyptic number.

It is an amenable number.

130121320013 is a deficient number, since it is larger than the sum of its proper divisors (7125333427).

130121320013 is a wasteful number, since it uses less digits than its factorization.

130121320013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7328.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 130121320013 its reverse (310023121031), we get a palindrome (440144441044).

The spelling of 130121320013 in words is "one hundred thirty billion, one hundred twenty-one million, three hundred twenty thousand, thirteen".