13101121022011 has 16 divisors (see below), whose sum is σ = 15044742777600. Its totient is φ = 11282967165600.

The previous prime is 13101121021979. The next prime is 13101121022023. The reversal of 13101121022011 is 11022012110131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13101121022011 - 2⁵ = 13101121021979 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13101121022071) 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, 7391185 + ... + 8990653.

It is an arithmetic number, because the mean of its divisors is an integer number (940296423600).

Almost surely, 2^{13101121022011} is an apocalyptic number.

13101121022011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13101121022011 is a deficient number, since it is larger than the sum of its proper divisors (1943621755589).

13101121022011 is a wasteful number, since it uses less digits than its factorization.

13101121022011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638690.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 13101121022011 its reverse (11022012110131), we get a palindrome (24123133132142).

The spelling of 13101121022011 in words is "thirteen trillion, one hundred one billion, one hundred twenty-one million, twenty-two thousand, eleven".