2613441600013 has 2 divisors, whose sum is σ = 2613441600014. Its totient is φ = 2613441600012.

The previous prime is 2613441599983. The next prime is 2613441600023. The reversal of 2613441600013 is 3100061443162.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2546379764644 + 67061835369 = 1595738^2 + 258963^2 .

It is a cyclic number.

It is not a de Polignac number, because 2613441600013 - 2⁵ = 2613441599981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2613441600023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1306720800006 + 1306720800007.

It is an arithmetic number, because the mean of its divisors is an integer number (1306720800007).

Almost surely, 2^{2613441600013} is an apocalyptic number.

It is an amenable number.

2613441600013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2613441600013 is an equidigital number, since it uses as much as digits as its factorization.

2613441600013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 2613441600013 in words is "two trillion, six hundred thirteen billion, four hundred forty-one million, six hundred thousand, thirteen".