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13201213123001 is a prime number
BaseRepresentation
bin1100000000011010010110…
…0111100110100110111001
31201202000122020111020200102
43000012211213212212321
53212242041024414001
644024315324045145
72531520240051221
oct300064547464671
951660566436612
1013201213123001
11422a66a720192
1215925976937b5
13749b3b414c47
14338d29291081
1517d5d9389e6b
hexc01a59e69b9

13201213123001 has 2 divisors, whose sum is σ = 13201213123002. Its totient is φ = 13201213123000.

The previous prime is 13201213122971. The next prime is 13201213123031. The reversal of 13201213123001 is 10032131210231.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (13201213122971) and next prime (13201213123031).

It can be written as a sum of positive squares in only one way, i.e., 9964628622400 + 3236584500601 = 3156680^2 + 1799051^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13201213123001 is a prime.

It is not a weakly prime, because it can be changed into another prime (13201213123031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6600606561500 + 6600606561501.

It is an arithmetic number, because the mean of its divisors is an integer number (6600606561501).

Almost surely, 213201213123001 is an apocalyptic number.

It is an amenable number.

13201213123001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13201213123001 is an equidigital number, since it uses as much as digits as its factorization.

13201213123001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13201213123001 its reverse (10032131210231), we get a palindrome (23233344333232).

The spelling of 13201213123001 in words is "thirteen trillion, two hundred one billion, two hundred thirteen million, one hundred twenty-three thousand, one".