130013121121 has 24 divisors (see below), whose sum is σ = 143515100160. Its totient is φ = 117685878336.

The previous prime is 130013121037. The next prime is 130013121229. The reversal of 130013121121 is 121121310031.

It is a happy number.

It is not a de Polignac number, because 130013121121 - 2²³ = 130004732513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130013121095 and 130013121104.

It is not an unprimeable number, because it can be changed into a prime (130013821121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32771680 + ... + 32775646.

It is an arithmetic number, because the mean of its divisors is an integer number (5979795840).

Almost surely, 2^130013121121 is an apocalyptic number.

It is an amenable number.

130013121121 is a deficient number, since it is larger than the sum of its proper divisors (13501979039).

130013121121 is a wasteful number, since it uses less digits than its factorization.

130013121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7705 (or 7692 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 130013121121 its reverse (121121310031), we get a palindrome (251134431152).

The spelling of 130013121121 in words is "one hundred thirty billion, thirteen million, one hundred twenty-one thousand, one hundred twenty-one".