2013064541041 has 2 divisors, whose sum is σ = 2013064541042. Its totient is φ = 2013064541040.

The previous prime is 2013064541017. The next prime is 2013064541129. The reversal of 2013064541041 is 1401454603102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1281150070641 + 731914470400 = 1131879^2 + 855520^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013064541041 - 2¹¹ = 2013064538993 is a prime.

It is a super-2 number, since 2×2013064541041² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2013064540994 and 2013064541012.

It is not a weakly prime, because it can be changed into another prime (2013064544041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006532270520 + 1006532270521.

It is an arithmetic number, because the mean of its divisors is an integer number (1006532270521).

Almost surely, 2^{2013064541041} is an apocalyptic number.

It is an amenable number.

2013064541041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013064541041 is an equidigital number, since it uses as much as digits as its factorization.

2013064541041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 2013064541041 in words is "two trillion, thirteen billion, sixty-four million, five hundred forty-one thousand, forty-one".