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1313310301201 is a prime number
BaseRepresentation
bin10011000111000111011…
…001001101110000010001
311122112212212000210220201
4103013013121031300101
5133004124414114301
62443154301335201
7163612024241263
oct23070731156021
94575785023821
101313310301201
11466a76477518
12192640b67501
1396ac9862902
14477c9209b33
152426771d201
hex131c764dc11

1313310301201 has 2 divisors, whose sum is σ = 1313310301202. Its totient is φ = 1313310301200.

The previous prime is 1313310301187. The next prime is 1313310301267. The reversal of 1313310301201 is 1021030133131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 929635358976 + 383674942225 = 964176^2 + 619415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1313310301201 is a prime.

It is a super-2 number, since 2×13133103012012 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1313310341201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656655150600 + 656655150601.

It is an arithmetic number, because the mean of its divisors is an integer number (656655150601).

Almost surely, 21313310301201 is an apocalyptic number.

It is an amenable number.

1313310301201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313310301201 is an equidigital number, since it uses as much as digits as its factorization.

1313310301201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1313310301201 its reverse (1021030133131), we get a palindrome (2334340434332).

The spelling of 1313310301201 in words is "one trillion, three hundred thirteen billion, three hundred ten million, three hundred one thousand, two hundred one".