2013102332041 has 2 divisors, whose sum is σ = 2013102332042. Its totient is φ = 2013102332040.

The previous prime is 2013102332011. The next prime is 2013102332081. The reversal of 2013102332041 is 1402332013102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1854880563600 + 158221768441 = 1361940^2 + 397771^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013102332041 - 2⁵ = 2013102332009 is a prime.

It is not a weakly prime, because it can be changed into another prime (2013102332011) 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 as a sum of consecutive naturals, namely, 1006551166020 + 1006551166021.

It is an arithmetic number, because the mean of its divisors is an integer number (1006551166021).

Almost surely, 2^{2013102332041} is an apocalyptic number.

It is an amenable number.

2013102332041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013102332041 is an equidigital number, since it uses as much as digits as its factorization.

2013102332041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2013102332041 its reverse (1402332013102), we get a palindrome (3415434345143).

The spelling of 2013102332041 in words is "two trillion, thirteen billion, one hundred two million, three hundred thirty-two thousand, forty-one".