13331101101121 has 16 divisors (see below), whose sum is σ = 15337489743360. Its totient is φ = 11503117290240.

The previous prime is 13331101101113. The next prime is 13331101101137. The reversal of 13331101101121 is 12110110113331.

13331101101121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13331101101121 - 2³ = 13331101101113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13331101108121) 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, 665679646 + ... + 665699671.

It is an arithmetic number, because the mean of its divisors is an integer number (958593108960).

Almost surely, 2^{13331101101121} is an apocalyptic number.

It is an amenable number.

13331101101121 is a deficient number, since it is larger than the sum of its proper divisors (2006388642239).

13331101101121 is a wasteful number, since it uses less digits than its factorization.

13331101101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331379384.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 13331101101121 its reverse (12110110113331), we get a palindrome (25441211214452).

The spelling of 13331101101121 in words is "thirteen trillion, three hundred thirty-one billion, one hundred one million, one hundred one thousand, one hundred twenty-one".