13011001331211 has 64 divisors (see below), whose sum is σ = 21996198604800. Its totient is φ = 7530013352448.

The previous prime is 13011001331183. The next prime is 13011001331221. The reversal of 13011001331211 is 11213310011031.

13011001331211 is a `hidden beast` number, since 1 + 301 + 10 + 0 + 1 + 331 + 21 + 1 = 666.

It is not a de Polignac number, because 13011001331211 - 2⁶ = 13011001331147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13011001331221) 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 63 ways as a sum of consecutive naturals, for example, 6964710 + ... + 8633028.

It is an arithmetic number, because the mean of its divisors is an integer number (343690603200).

Almost surely, 2^{13011001331211} is an apocalyptic number.

13011001331211 is a deficient number, since it is larger than the sum of its proper divisors (8985197273589).

13011001331211 is a wasteful number, since it uses less digits than its factorization.

13011001331211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669665 (or 1669659 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13011001331211 its reverse (11213310011031), we get a palindrome (24224311342242).

The spelling of 13011001331211 in words is "thirteen trillion, eleven billion, one million, three hundred thirty-one thousand, two hundred eleven".