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331211323013 is a prime number
BaseRepresentation
bin1001101000111011011…
…10111011011010000101
31011122220200112111220112
410310131232323122011
520411310044314023
6412053440042405
732633503536224
oct4643556733205
91148820474815
10331211323013
1111851418022a
1254236003405
1325305150c8c
14120603c6cbb
15893780d478
hex4d1dbbb685

331211323013 has 2 divisors, whose sum is σ = 331211323014. Its totient is φ = 331211323012.

The previous prime is 331211323007. The next prime is 331211323049. The reversal of 331211323013 is 310323112133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 259837926049 + 71373396964 = 509743^2 + 267158^2 .

It is an emirp because it is prime and its reverse (310323112133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331211323013 - 236 = 262491846277 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 331211323013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331211353013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165605661506 + 165605661507.

It is an arithmetic number, because the mean of its divisors is an integer number (165605661507).

Almost surely, 2331211323013 is an apocalyptic number.

It is an amenable number.

331211323013 is a deficient number, since it is larger than the sum of its proper divisors (1).

331211323013 is an equidigital number, since it uses as much as digits as its factorization.

331211323013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 331211323013 its reverse (310323112133), we get a palindrome (641534435146).

The spelling of 331211323013 in words is "three hundred thirty-one billion, two hundred eleven million, three hundred twenty-three thousand, thirteen".