13001335212513 has 16 divisors (see below), whose sum is σ = 17618256421056. Its totient is φ = 8527078622400.

The previous prime is 13001335212469. The next prime is 13001335212517. The reversal of 13001335212513 is 31521253310031.

It is not a de Polignac number, because 13001335212513 - 2¹⁰ = 13001335211489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13001335212517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136604331 + ... + 136699472.

It is an arithmetic number, because the mean of its divisors is an integer number (1101141026316).

Almost surely, 2^{13001335212513} is an apocalyptic number.

It is an amenable number.

13001335212513 is a deficient number, since it is larger than the sum of its proper divisors (4616921208543).

13001335212513 is a wasteful number, since it uses less digits than its factorization.

13001335212513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273304064.

The product of its (nonzero) digits is 8100, while the sum is 30.

Adding to 13001335212513 its reverse (31521253310031), we get a palindrome (44522588522544).

The spelling of 13001335212513 in words is "thirteen trillion, one billion, three hundred thirty-five million, two hundred twelve thousand, five hundred thirteen".