131213223232013 has 8 divisors (see below), whose sum is σ = 141311480835000. Its totient is φ = 121115670306048.

The previous prime is 131213223231971. The next prime is 131213223232019. The reversal of 131213223232013 is 310232322312131.

It can be written as a sum of positive squares in 4 ways, for example, as 11093442585124 + 120119780646889 = 3330682^2 + 10959917^2 .

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 131213223232013 - 2¹⁶ = 131213223166477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131213223232019) 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, 175782488 + ... + 176527361.

It is an arithmetic number, because the mean of its divisors is an integer number (17663935104375).

Almost surely, 2^{131213223232013} is an apocalyptic number.

131213223232013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131213223232013 is a deficient number, since it is larger than the sum of its proper divisors (10098257602987).

131213223232013 is a wasteful number, since it uses less digits than its factorization.

131213223232013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352338511.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 131213223232013 its reverse (310232322312131), we get a palindrome (441445545544144).

The spelling of 131213223232013 in words is "one hundred thirty-one trillion, two hundred thirteen billion, two hundred twenty-three million, two hundred thirty-two thousand, thirteen".