13310121022011 has 96 divisors (see below), whose sum is σ = 22252475182080. Its totient is φ = 7581786624000.

The previous prime is 13310121021917. The next prime is 13310121022013. The reversal of 13310121022011 is 11022012101331.

13310121022011 is a `hidden beast` number, since 1 + 3 + 310 + 121 + 0 + 220 + 11 = 666.

It is not a de Polignac number, because 13310121022011 - 2¹⁸ = 13310120759867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13310121022013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133183161 + ... + 133283061.

It is an arithmetic number, because the mean of its divisors is an integer number (231796616480).

Almost surely, 2^{13310121022011} is an apocalyptic number.

13310121022011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13310121022011 is a deficient number, since it is larger than the sum of its proper divisors (8942354160069).

13310121022011 is a wasteful number, since it uses less digits than its factorization.

13310121022011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100497 (or 100494 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13310121022011 its reverse (11022012101331), we get a palindrome (24332133123342).

It can be divided in two parts, 133101 and 21022011, that added together give a palindrome (21155112).

The spelling of 13310121022011 in words is "thirteen trillion, three hundred ten billion, one hundred twenty-one million, twenty-two thousand, eleven".