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13022032032001 is a prime number
BaseRepresentation
bin1011110101111110110110…
…0101111111000100000001
31201002220010210122201101201
42331133231211333010001
53201323110200011001
643410123335301201
72512545043651006
oct275375545770401
951086123581351
1013022032032001
114170681664503
12156391021a801
13735c84344245
143303ac1438ad
15178aed9e1501
hexbd7ed97f101

13022032032001 has 2 divisors, whose sum is σ = 13022032032002. Its totient is φ = 13022032032000.

The previous prime is 13022032031999. The next prime is 13022032032013. The reversal of 13022032032001 is 10023023022031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7862842213776 + 5159189818225 = 2804076^2 + 2271385^2 .

It is an emirp because it is prime and its reverse (10023023022031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13022032032001 - 21 = 13022032031999 is a prime.

Together with 13022032031999, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 13022032032001.

It is not a weakly prime, because it can be changed into another prime (13022032032091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6511016016000 + 6511016016001.

It is an arithmetic number, because the mean of its divisors is an integer number (6511016016001).

Almost surely, 213022032032001 is an apocalyptic number.

It is an amenable number.

13022032032001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13022032032001 is an equidigital number, since it uses as much as digits as its factorization.

13022032032001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 13022032032001 its reverse (10023023022031), we get a palindrome (23045055054032).

The spelling of 13022032032001 in words is "thirteen trillion, twenty-two billion, thirty-two million, thirty-two thousand, one".