13101121201311 has 48 divisors (see below), whose sum is σ = 22233740474400. Its totient is φ = 7328792597760.

The previous prime is 13101121201297. The next prime is 13101121201319. The reversal of 13101121201311 is 11310212110131.

13101121201311 is a `hidden beast` number, since 1 + 31 + 0 + 1 + 121 + 201 + 311 = 666.

It is not a de Polignac number, because 13101121201311 - 2¹⁰ = 13101121200287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101121201319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18699765 + ... + 19387713.

It is an arithmetic number, because the mean of its divisors is an integer number (463202926550).

Almost surely, 2^{13101121201311} is an apocalyptic number.

13101121201311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13101121201311 is a deficient number, since it is larger than the sum of its proper divisors (9132619273089).

13101121201311 is a wasteful number, since it uses less digits than its factorization.

13101121201311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702776 (or 702773 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 13101121201311 its reverse (11310212110131), we get a palindrome (24411333311442).

The spelling of 13101121201311 in words is "thirteen trillion, one hundred one billion, one hundred twenty-one million, two hundred one thousand, three hundred eleven".