131313232133213 has 8 divisors (see below), whose sum is σ = 141417137328600. Its totient is φ = 121209739414848.

The previous prime is 131313232133147. The next prime is 131313232133243. The reversal of 131313232133213 is 312331232313131.

It can be written as a sum of positive squares in 4 ways, for example, as 7133455747609 + 124179776385604 = 2670853^2 + 11143598^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131313232133213 - 2³⁴ = 131296052264029 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131313232133213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131313232133243) 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, 102457898 + ... + 103731611.

It is an arithmetic number, because the mean of its divisors is an integer number (17677142166075).

Almost surely, 2^{131313232133213} is an apocalyptic number.

131313232133213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131313232133213 is a deficient number, since it is larger than the sum of its proper divisors (10103905195387).

131313232133213 is a wasteful number, since it uses less digits than its factorization.

131313232133213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206238511.

The product of its digits is 17496, while the sum is 32.

Adding to 131313232133213 its reverse (312331232313131), we get a palindrome (443644464446344).

The spelling of 131313232133213 in words is "one hundred thirty-one trillion, three hundred thirteen billion, two hundred thirty-two million, one hundred thirty-three thousand, two hundred thirteen".