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12013233002081 is a prime number
BaseRepresentation
bin1010111011010000110001…
…1111000101011001100001
31120112110020212022021000122
42232310030133011121201
53033311100122031311
641314445243130025
72346633053455343
oct256641437053141
946473225267018
1012013233002081
113911868933163
1214202b3513915
13691ac613212c
142d762d27b293
1515c759a4a0db
hexaed0c7c5661

12013233002081 has 2 divisors, whose sum is σ = 12013233002082. Its totient is φ = 12013233002080.

The previous prime is 12013233002077. The next prime is 12013233002123. The reversal of 12013233002081 is 18020033231021.

12013233002081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9217047049681 + 2796185952400 = 3035959^2 + 1672180^2 .

It is a cyclic number.

It is not a de Polignac number, because 12013233002081 - 22 = 12013233002077 is a prime.

It is a super-2 number, since 2×120132330020812 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12013233002081.

It is not a weakly prime, because it can be changed into another prime (12013233002681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6006616501040 + 6006616501041.

It is an arithmetic number, because the mean of its divisors is an integer number (6006616501041).

Almost surely, 212013233002081 is an apocalyptic number.

It is an amenable number.

12013233002081 is a deficient number, since it is larger than the sum of its proper divisors (1).

12013233002081 is an equidigital number, since it uses as much as digits as its factorization.

12013233002081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 12013233002081 in words is "twelve trillion, thirteen billion, two hundred thirty-three million, two thousand, eighty-one".