13133113313111 has 12 divisors (see below), whose sum is σ = 14977030414920. Its totient is φ = 11420098528080.

The previous prime is 13133113313107. The next prime is 13133113313147. The reversal of 13133113313111 is 11131331133131.

It is not a de Polignac number, because 13133113313111 - 2² = 13133113313107 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133113313011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1128462416 + ... + 1128474053.

It is an arithmetic number, because the mean of its divisors is an integer number (1248085867910).

Almost surely, 2^{13133113313111} is an apocalyptic number.

13133113313111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13133113313111 is a deficient number, since it is larger than the sum of its proper divisors (1843917101809).

13133113313111 is a wasteful number, since it uses less digits than its factorization.

13133113313111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256936526 (or 2256936503 counting only the distinct ones).

The product of its digits is 729, while the sum is 26.

Adding to 13133113313111 its reverse (11131331133131), we get a palindrome (24264444446242).

It can be divided in two parts, 131331133131 and 11, that multiplied together give a palindrome (1444642464441).

The spelling of 13133113313111 in words is "thirteen trillion, one hundred thirty-three billion, one hundred thirteen million, three hundred thirteen thousand, one hundred eleven".