213120112113 has 24 divisors (see below), whose sum is σ = 323753883648. Its totient is φ = 134832563712.

The previous prime is 213120112109. The next prime is 213120112141. The reversal of 213120112113 is 311211021312.

It is not a de Polignac number, because 213120112113 - 2² = 213120112109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213120112193) 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 23 ways as a sum of consecutive naturals, for example, 4027120 + ... + 4079697.

It is an arithmetic number, because the mean of its divisors is an integer number (13489745152).

Almost surely, 2^213120112113 is an apocalyptic number.

213120112113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

213120112113 is a deficient number, since it is larger than the sum of its proper divisors (110633771535).

213120112113 is a wasteful number, since it uses less digits than its factorization.

213120112113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8106973 (or 8106970 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 213120112113 its reverse (311211021312), we get a palindrome (524331133425).

The spelling of 213120112113 in words is "two hundred thirteen billion, one hundred twenty million, one hundred twelve thousand, one hundred thirteen".