72687141331213 has 2 divisors, whose sum is σ = 72687141331214. Its totient is φ = 72687141331212.

The previous prime is 72687141331153. The next prime is 72687141331219. The reversal of 72687141331213 is 31213314178627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64703651524164 + 7983489807049 = 8043858^2 + 2825507^2 .

It is a cyclic number.

It is not a de Polignac number, because 72687141331213 - 2³⁷ = 72549702377741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72687141331219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36343570665606 + 36343570665607.

It is an arithmetic number, because the mean of its divisors is an integer number (36343570665607).

Almost surely, 2^{72687141331213} is an apocalyptic number.

It is an amenable number.

72687141331213 is a deficient number, since it is larger than the sum of its proper divisors (1).

72687141331213 is an equidigital number, since it uses as much as digits as its factorization.

72687141331213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1016064, while the sum is 49.

The spelling of 72687141331213 in words is "seventy-two trillion, six hundred eighty-seven billion, one hundred forty-one million, three hundred thirty-one thousand, two hundred thirteen".