32131012320313 has 2 divisors, whose sum is σ = 32131012320314. Its totient is φ = 32131012320312.

The previous prime is 32131012320299. The next prime is 32131012320317. The reversal of 32131012320313 is 31302321013123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20984708942649 + 11146303377664 = 4580907^2 + 3338608^2 .

It is a cyclic number.

It is not a de Polignac number, because 32131012320313 - 2³³ = 32122422385721 is a prime.

It is a super-3 number, since 3×32131012320313³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (32131012320317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16065506160156 + 16065506160157.

It is an arithmetic number, because the mean of its divisors is an integer number (16065506160157).

Almost surely, 2^{32131012320313} is an apocalyptic number.

It is an amenable number.

32131012320313 is a deficient number, since it is larger than the sum of its proper divisors (1).

32131012320313 is an equidigital number, since it uses as much as digits as its factorization.

32131012320313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 32131012320313 its reverse (31302321013123), we get a palindrome (63433333333436).

The spelling of 32131012320313 in words is "thirty-two trillion, one hundred thirty-one billion, twelve million, three hundred twenty thousand, three hundred thirteen".