2121113131 has 2 divisors, whose sum is σ = 2121113132. Its totient is φ = 2121113130.

The previous prime is 2121113129. The next prime is 2121113177. The reversal of 2121113131 is 1313111212.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2121113131 - 2¹ = 2121113129 is a prime.

It is a super-3 number, since 3×2121113131³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 2121113129, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2121113101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060556565 + 1060556566.

It is an arithmetic number, because the mean of its divisors is an integer number (1060556566).

Almost surely, 2^2121113131 is an apocalyptic number.

2121113131 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121113131 is an equidigital number, since it uses as much as digits as its factorization.

2121113131 is an evil number, because the sum of its binary digits is even.

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

The square root of 2121113131 is about 46055.5439768113. The cubic root of 2121113131 is about 1284.8564553731.

Adding to 2121113131 its reverse (1313111212), we get a palindrome (3434224343).

The spelling of 2121113131 in words is "two billion, one hundred twenty-one million, one hundred thirteen thousand, one hundred thirty-one".