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321213142023013 is a prime number
BaseRepresentation
bin100100100001001000100001…
…1001110100011101101100101
31120010022200021011011010220101
41021002101003032203231211
5314100224003324214023
63055055140314104101
7124441612046536642
oct11102210316435545
91503280234133811
10321213142023013
1193391801731a99
123003931341b031
1310a30366910316
145946b28756dc9
1527207570381ad
hex12424433a3b65

321213142023013 has 2 divisors, whose sum is σ = 321213142023014. Its totient is φ = 321213142023012.

The previous prime is 321213142022987. The next prime is 321213142023083. The reversal of 321213142023013 is 310320241312123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 285935992568164 + 35277149454849 = 16909642^2 + 5939457^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-321213142023013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (321213142023083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160606571011506 + 160606571011507.

It is an arithmetic number, because the mean of its divisors is an integer number (160606571011507).

Almost surely, 2321213142023013 is an apocalyptic number.

It is an amenable number.

321213142023013 is a deficient number, since it is larger than the sum of its proper divisors (1).

321213142023013 is an equidigital number, since it uses as much as digits as its factorization.

321213142023013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 321213142023013 its reverse (310320241312123), we get a palindrome (631533383335136).

The spelling of 321213142023013 in words is "three hundred twenty-one trillion, two hundred thirteen billion, one hundred forty-two million, twenty-three thousand, thirteen".