13013021102011 has 16 divisors (see below), whose sum is σ = 14985763851520. Its totient is φ = 11068785574560.

The previous prime is 13013021101963. The next prime is 13013021102041. The reversal of 13013021102011 is 11020112031031.

It is a happy number.

It is not a de Polignac number, because 13013021102011 - 2⁹ = 13013021101499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13013021102041) 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, 849801 + ... + 5171866.

It is an arithmetic number, because the mean of its divisors is an integer number (936610240720).

Almost surely, 2^{13013021102011} is an apocalyptic number.

13013021102011 is a deficient number, since it is larger than the sum of its proper divisors (1972742749509).

13013021102011 is a wasteful number, since it uses less digits than its factorization.

13013021102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6024034.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13013021102011 its reverse (11020112031031), we get a palindrome (24033133133042).

The spelling of 13013021102011 in words is "thirteen trillion, thirteen billion, twenty-one million, one hundred two thousand, eleven".