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133313003011301 is a prime number
BaseRepresentation
bin11110010011111101011010…
…001100000011110011100101
3122111000121011101200000011012
4132103331122030003303211
5114433200012232330201
61151311051554152005
740036355330520161
oct3623753214036345
9574017141600135
10133313003011301
11395287aa812033
1212b50b52b82605
135950492acb1c9
1424cc553107ca1
151062b9cce55bb
hex793f5a303ce5

133313003011301 has 2 divisors, whose sum is σ = 133313003011302. Its totient is φ = 133313003011300.

The previous prime is 133313003011291. The next prime is 133313003011337. The reversal of 133313003011301 is 103110300313331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79647503457025 + 53665499554276 = 8924545^2 + 7325674^2 .

It is an emirp because it is prime and its reverse (103110300313331) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133313003011301 is a prime.

It is a super-2 number, since 2×1333130030113012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133313003011351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66656501505650 + 66656501505651.

It is an arithmetic number, because the mean of its divisors is an integer number (66656501505651).

Almost surely, 2133313003011301 is an apocalyptic number.

It is an amenable number.

133313003011301 is a deficient number, since it is larger than the sum of its proper divisors (1).

133313003011301 is an equidigital number, since it uses as much as digits as its factorization.

133313003011301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 133313003011301 its reverse (103110300313331), we get a palindrome (236423303324632).

The spelling of 133313003011301 in words is "one hundred thirty-three trillion, three hundred thirteen billion, three million, eleven thousand, three hundred one".