2542103004113 has 2 divisors, whose sum is σ = 2542103004114. Its totient is φ = 2542103004112.

The previous prime is 2542103004097. The next prime is 2542103004139. The reversal of 2542103004113 is 3114003012452.

It is a happy number.

It is an a-pointer prime, because the next prime (2542103004139) can be obtained adding 2542103004113 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2518622958289 + 23480045824 = 1587017^2 + 153232^2 .

It is a cyclic number.

It is not a de Polignac number, because 2542103004113 - 2⁴ = 2542103004097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2542103004193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1271051502056 + 1271051502057.

It is an arithmetic number, because the mean of its divisors is an integer number (1271051502057).

Almost surely, 2^{2542103004113} is an apocalyptic number.

It is an amenable number.

2542103004113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2542103004113 is an equidigital number, since it uses as much as digits as its factorization.

2542103004113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 2542103004113 its reverse (3114003012452), we get a palindrome (5656106016565).

The spelling of 2542103004113 in words is "two trillion, five hundred forty-two billion, one hundred three million, four thousand, one hundred thirteen".