13026035013201 has 72 divisors (see below), whose sum is σ = 21910598506368. Its totient is φ = 7435524600000.

The previous prime is 13026035013193. The next prime is 13026035013221. The reversal of 13026035013201 is 10231053062031.

13026035013201 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 603 + 50 + 1 + 3 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 13026035013201 - 2³ = 13026035013193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13026035013221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2741743576 + ... + 2741748326.

It is an arithmetic number, because the mean of its divisors is an integer number (304313868144).

Almost surely, 2^{13026035013201} is an apocalyptic number.

It is an amenable number.

13026035013201 is a deficient number, since it is larger than the sum of its proper divisors (8884563493167).

13026035013201 is a wasteful number, since it uses less digits than its factorization.

13026035013201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10083 (or 10073 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 13026035013201 its reverse (10231053062031), we get a palindrome (23257088075232).

The spelling of 13026035013201 in words is "thirteen trillion, twenty-six billion, thirty-five million, thirteen thousand, two hundred one".