10014133553513 has 2 divisors, whose sum is σ = 10014133553514. Its totient is φ = 10014133553512.

The previous prime is 10014133553507. The next prime is 10014133553519. The reversal of 10014133553513 is 31535533141001.

It is a balanced prime because it is at equal distance from previous prime (10014133553507) and next prime (10014133553519).

It can be written as a sum of positive squares in only one way, i.e., 9356912034649 + 657221518864 = 3058907^2 + 810692^2 .

It is an emirp because it is prime and its reverse (31535533141001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10014133553513 - 2⁸ = 10014133553257 is a prime.

It is not a weakly prime, because it can be changed into another prime (10014133553519) 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, 5007066776756 + 5007066776757.

It is an arithmetic number, because the mean of its divisors is an integer number (5007066776757).

Almost surely, 2^{10014133553513} is an apocalyptic number.

It is an amenable number.

10014133553513 is a deficient number, since it is larger than the sum of its proper divisors (1).

10014133553513 is an equidigital number, since it uses as much as digits as its factorization.

10014133553513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40500, while the sum is 35.

Adding to 10014133553513 its reverse (31535533141001), we get a palindrome (41549666694514).

The spelling of 10014133553513 in words is "ten trillion, fourteen billion, one hundred thirty-three million, five hundred fifty-three thousand, five hundred thirteen".