113130121013 has 16 divisors (see below), whose sum is σ = 139299565440. Its totient is φ = 89469372096.

The previous prime is 113130121003. The next prime is 113130121063. The reversal of 113130121013 is 310121031311.

It is not a de Polignac number, because 113130121013 - 2²⁸ = 112861685557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113130120982 and 113130121000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113130121003) 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 15 ways as a sum of consecutive naturals, for example, 74303 + ... + 481436.

It is an arithmetic number, because the mean of its divisors is an integer number (8706222840).

Almost surely, 2^113130121013 is an apocalyptic number.

113130121013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113130121013 is a deficient number, since it is larger than the sum of its proper divisors (26169444427).

113130121013 is a wasteful number, since it uses less digits than its factorization.

113130121013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557996.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 113130121013 its reverse (310121031311), we get a palindrome (423251152324).

The spelling of 113130121013 in words is "one hundred thirteen billion, one hundred thirty million, one hundred twenty-one thousand, thirteen".