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13220133232001 is a prime number
BaseRepresentation
bin1100000001100000110101…
…0110000101110110000001
31201210211110211000100222012
43000120031112011312001
53213044313101411001
644041124555422305
72533060140243653
oct300301526056601
951724424010865
1013220133232001
11423769961a103
121596197a54995
1374b86515cb07
14339c01d906d3
1517dd453e32bb
hexc060d585d81

13220133232001 has 2 divisors, whose sum is σ = 13220133232002. Its totient is φ = 13220133232000.

The previous prime is 13220133231997. The next prime is 13220133232109. The reversal of 13220133232001 is 10023233102231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13013334760000 + 206798472001 = 3607400^2 + 454751^2 .

It is a cyclic number.

It is not a de Polignac number, because 13220133232001 - 22 = 13220133231997 is a prime.

It is not a weakly prime, because it can be changed into another prime (13220133292001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6610066616000 + 6610066616001.

It is an arithmetic number, because the mean of its divisors is an integer number (6610066616001).

Almost surely, 213220133232001 is an apocalyptic number.

It is an amenable number.

13220133232001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13220133232001 is an equidigital number, since it uses as much as digits as its factorization.

13220133232001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 13220133232001 its reverse (10023233102231), we get a palindrome (23243366334232).

The spelling of 13220133232001 in words is "thirteen trillion, two hundred twenty billion, one hundred thirty-three million, two hundred thirty-two thousand, one".