13313121331131 has 24 divisors (see below), whose sum is σ = 19685437776576. Its totient is φ = 8665413024240.

The previous prime is 13313121331099. The next prime is 13313121331151. The reversal of 13313121331131 is 13113312131331.

13313121331131 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 312 + 1 + 3 + 311 + 31 = 666.

It is not a de Polignac number, because 13313121331131 - 2⁵ = 13313121331099 is a prime.

It is a super-2 number, since 2×13313121331131² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13313121331095 and 13313121331104.

It is not an unprimeable number, because it can be changed into a prime (13313121331151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6201085 + ... + 8067198.

It is an arithmetic number, because the mean of its divisors is an integer number (820226574024).

Almost surely, 2^{13313121331131} is an apocalyptic number.

13313121331131 is a deficient number, since it is larger than the sum of its proper divisors (6372316445445).

13313121331131 is a wasteful number, since it uses less digits than its factorization.

13313121331131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14270743 (or 14270740 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

Adding to 13313121331131 its reverse (13113312131331), we get a palindrome (26426433462462).

The spelling of 13313121331131 in words is "thirteen trillion, three hundred thirteen billion, one hundred twenty-one million, three hundred thirty-one thousand, one hundred thirty-one".