Search a number
-
+
13121210232001 is a prime number
BaseRepresentation
bin1011111011110000010100…
…0100110010110011000001
31201110101010200221021222101
42332330011010302303001
53204434214304411001
643523444544310401
72522655551516104
oct276740504626301
951411120837871
1013121210232001
1141a974611a053
12157ab8a912401
1374242b80a2a1
143350d9da273b
1517b4a59e9a01
hexbef05132cc1

13121210232001 has 2 divisors, whose sum is σ = 13121210232002. Its totient is φ = 13121210232000.

The previous prime is 13121210231917. The next prime is 13121210232023. The reversal of 13121210232001 is 10023201212131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12187087982001 + 934122250000 = 3491001^2 + 966500^2 .

It is a cyclic number.

It is not a de Polignac number, because 13121210232001 - 237 = 12983771278529 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13121210232001.

It is not a weakly prime, because it can be changed into another prime (13121210232071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560605116000 + 6560605116001.

It is an arithmetic number, because the mean of its divisors is an integer number (6560605116001).

Almost surely, 213121210232001 is an apocalyptic number.

It is an amenable number.

13121210232001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121210232001 is an equidigital number, since it uses as much as digits as its factorization.

13121210232001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 13121210232001 its reverse (10023201212131), we get a palindrome (23144411444132).

The spelling of 13121210232001 in words is "thirteen trillion, one hundred twenty-one billion, two hundred ten million, two hundred thirty-two thousand, one".