13131301313133 has 8 divisors (see below), whose sum is σ = 19453779723200. Its totient is φ = 8754200875404.

The previous prime is 13131301313129. The next prime is 13131301313159. The reversal of 13131301313133 is 33131310313131.

13131301313133 is a `hidden beast` number, since 1 + 3 + 1 + 31 + 301 + 313 + 13 + 3 = 666.

It is not a de Polignac number, because 13131301313133 - 2² = 13131301313129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 486344493079 = 13131301313133 / (1 + 3 + 1 + 3 + 1 + 3 + 0 + 1 + 3 + 1 + 3 + 1 + 3 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13131301313097 and 13131301313106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131301313113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243172246513 + ... + 243172246566.

It is an arithmetic number, because the mean of its divisors is an integer number (2431722465400).

Almost surely, 2^{13131301313133} is an apocalyptic number.

It is an amenable number.

13131301313133 is a deficient number, since it is larger than the sum of its proper divisors (6322478410067).

13131301313133 is an equidigital number, since it uses as much as digits as its factorization.

13131301313133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486344493088 (or 486344493082 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

Adding to 13131301313133 its reverse (33131310313131), we get a palindrome (46262611626264).

The spelling of 13131301313133 in words is "thirteen trillion, one hundred thirty-one billion, three hundred one million, three hundred thirteen thousand, one hundred thirty-three".