131311103321313 has 24 divisors (see below), whose sum is σ = 195945545053440. Its totient is φ = 84649551634080.

The previous prime is 131311103321309. The next prime is 131311103321353. The reversal of 131311103321313 is 313123301113131.

131311103321313 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 1 + 10 + 332 + 1 + 313 = 666.

It is not a de Polignac number, because 131311103321313 - 2² = 131311103321309 is a prime.

It is a super-3 number, since 3×131311103321313³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131311103321353) 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, 186562606 + ... + 187265127.

It is an arithmetic number, because the mean of its divisors is an integer number (8164397710560).

Almost surely, 2^{131311103321313} is an apocalyptic number.

It is an amenable number.

131311103321313 is a deficient number, since it is larger than the sum of its proper divisors (64634441732127).

131311103321313 is a wasteful number, since it uses less digits than its factorization.

131311103321313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373829029 (or 373829026 counting only the distinct ones).

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

Adding to 131311103321313 its reverse (313123301113131), we get a palindrome (444434404434444).

The spelling of 131311103321313 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred three million, three hundred twenty-one thousand, three hundred thirteen".