513310045133 has 16 divisors (see below), whose sum is σ = 523397376000. Its totient is φ = 503322285312.

The previous prime is 513310045093. The next prime is 513310045141. The reversal of 513310045133 is 331540013315.

It is a cyclic number.

It is not a de Polignac number, because 513310045133 - 2¹² = 513310041037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513310045096 and 513310045105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513310005133) 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 in 15 ways as a sum of consecutive naturals, for example, 29141633 + ... + 29159241.

It is an arithmetic number, because the mean of its divisors is an integer number (32712336000).

Almost surely, 2^513310045133 is an apocalyptic number.

It is an amenable number.

513310045133 is a deficient number, since it is larger than the sum of its proper divisors (10087330867).

513310045133 is a wasteful number, since it uses less digits than its factorization.

513310045133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20404.

The product of its (nonzero) digits is 8100, while the sum is 29.

Adding to 513310045133 its reverse (331540013315), we get a palindrome (844850058448).

The spelling of 513310045133 in words is "five hundred thirteen billion, three hundred ten million, forty-five thousand, one hundred thirty-three".