113130121311 has 16 divisors (see below), whose sum is σ = 169259591520. Its totient is φ = 74673345600.

The previous prime is 113130121277. The next prime is 113130121319. The reversal of 113130121311 is 113121031311.

113130121311 is a `hidden beast` number, since 1 + 1 + 31 + 301 + 21 + 311 = 666.

It is not a de Polignac number, because 113130121311 - 2¹³ = 113130113119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113130121319) 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, 20739870 + ... + 20745323.

It is an arithmetic number, because the mean of its divisors is an integer number (10578724470).

Almost surely, 2^113130121311 is an apocalyptic number.

113130121311 is a deficient number, since it is larger than the sum of its proper divisors (56129470209).

113130121311 is a wasteful number, since it uses less digits than its factorization.

113130121311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41485303 (or 41485297 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 113130121311 its reverse (113121031311), we get a palindrome (226251152622).

The spelling of 113130121311 in words is "one hundred thirteen billion, one hundred thirty million, one hundred twenty-one thousand, three hundred eleven".