131313210330133 has 12 divisors (see below), whose sum is σ = 142249479420708. Its totient is φ = 121162536992640.

The previous prime is 131313210330131. The next prime is 131313210330151. The reversal of 131313210330133 is 331033012313131.

It can be written as a sum of positive squares in 6 ways, for example, as 8754538863249 + 122558671466884 = 2958807^2 + 11070622^2 .

It is not a de Polignac number, because 131313210330133 - 2¹ = 131313210330131 is a prime.

It is a super-3 number, since 3×131313210330133³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131313210330131) 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, 158743810 + ... + 159568867.

It is an arithmetic number, because the mean of its divisors is an integer number (11854123285059).

Almost surely, 2^{131313210330133} is an apocalyptic number.

131313210330133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131313210330133 is a deficient number, since it is larger than the sum of its proper divisors (10936269090575).

131313210330133 is a wasteful number, since it uses less digits than its factorization.

131313210330133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318315144 (or 318315131 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 28.

Adding to 131313210330133 its reverse (331033012313131), we get a palindrome (462346222643264).

The spelling of 131313210330133 in words is "one hundred thirty-one trillion, three hundred thirteen billion, two hundred ten million, three hundred thirty thousand, one hundred thirty-three".