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13313332002601 is a prime number
BaseRepresentation
bin1100000110111100000001…
…1011001011111100101001
31202010202000222221110102201
43001233000123023330221
53221111200443040401
644152021004500201
72542566530600221
oct301570033137451
952122028843381
1013313332002601
114273174923964
1215b0267b4a661
137575988b0157
14340523a37081
1518149c4c8b01
hexc1bc06cbf29

13313332002601 has 2 divisors, whose sum is σ = 13313332002602. Its totient is φ = 13313332002600.

The previous prime is 13313332002587. The next prime is 13313332002613. The reversal of 13313332002601 is 10620023331331.

13313332002601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13313004392601 + 327610000 = 3648699^2 + 18100^2 .

It is a cyclic number.

It is not a de Polignac number, because 13313332002601 - 231 = 13311184518953 is a prime.

It is a super-2 number, since 2×133133320026012 (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 13313332002601.

It is not a weakly prime, because it can be changed into another prime (13313332002671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6656666001300 + 6656666001301.

It is an arithmetic number, because the mean of its divisors is an integer number (6656666001301).

Almost surely, 213313332002601 is an apocalyptic number.

It is an amenable number.

13313332002601 is a deficient number, since it is larger than the sum of its proper divisors (1).

13313332002601 is an equidigital number, since it uses as much as digits as its factorization.

13313332002601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 13313332002601 its reverse (10620023331331), we get a palindrome (23933355333932).

The spelling of 13313332002601 in words is "thirteen trillion, three hundred thirteen billion, three hundred thirty-two million, two thousand, six hundred one".