2113314214241 has 2 divisors, whose sum is σ = 2113314214242. Its totient is φ = 2113314214240.

The previous prime is 2113314214223. The next prime is 2113314214279. The reversal of 2113314214241 is 1424124133112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1594338054241 + 518976160000 = 1262671^2 + 720400^2 .

It is a cyclic number.

It is not a de Polignac number, because 2113314214241 - 2²⁶ = 2113247105377 is a prime.

It is a super-2 number, since 2×2113314214241² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2113314214741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056657107120 + 1056657107121.

It is an arithmetic number, because the mean of its divisors is an integer number (1056657107121).

Almost surely, 2^{2113314214241} is an apocalyptic number.

It is an amenable number.

2113314214241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2113314214241 is an equidigital number, since it uses as much as digits as its factorization.

2113314214241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4608, while the sum is 29.

Adding to 2113314214241 its reverse (1424124133112), we get a palindrome (3537438347353).

The spelling of 2113314214241 in words is "two trillion, one hundred thirteen billion, three hundred fourteen million, two hundred fourteen thousand, two hundred forty-one".