2442101204113 has 2 divisors, whose sum is σ = 2442101204114. Its totient is φ = 2442101204112.

The previous prime is 2442101204093. The next prime is 2442101204131. The reversal of 2442101204113 is 3114021012442.

Together with next prime (2442101204131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1321357147009 + 1120744057104 = 1149503^2 + 1058652^2 .

It is a cyclic number.

It is not a de Polignac number, because 2442101204113 - 2²¹ = 2442099106961 is a prime.

It is a super-2 number, since 2×2442101204113² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2442101904113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1221050602056 + 1221050602057.

It is an arithmetic number, because the mean of its divisors is an integer number (1221050602057).

Almost surely, 2^{2442101204113} is an apocalyptic number.

It is an amenable number.

2442101204113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2442101204113 is an equidigital number, since it uses as much as digits as its factorization.

2442101204113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 2442101204113 its reverse (3114021012442), we get a palindrome (5556122216555).

The spelling of 2442101204113 in words is "two trillion, four hundred forty-two billion, one hundred one million, two hundred four thousand, one hundred thirteen".