13003010053 has 12 divisors (see below), whose sum is σ = 14785415820. Its totient is φ = 11413297280.

The previous prime is 13003010023. The next prime is 13003010057. The reversal of 13003010053 is 35001030031.

It can be written as a sum of positive squares in 2 ways, for example, as 10593967329 + 2409042724 = 102927^2 + 49082^2 .

It is not a de Polignac number, because 13003010053 - 2⁹ = 13003009541 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003010057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1849300 + ... + 1856317.

It is an arithmetic number, because the mean of its divisors is an integer number (1232117985).

Almost surely, 2^13003010053 is an apocalyptic number.

It is an amenable number.

13003010053 is a deficient number, since it is larger than the sum of its proper divisors (1782405767).

13003010053 is a wasteful number, since it uses less digits than its factorization.

13003010053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705668 (or 3705657 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 16.

Adding to 13003010053 its reverse (35001030031), we get a palindrome (48004040084).

The spelling of 13003010053 in words is "thirteen billion, three million, ten thousand, fifty-three".