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1313223003149 is a prime number
BaseRepresentation
bin10011000111000010001…
…100001100110000001101
311122112122202202121111112
4103013002030030300031
5133003440042100044
62443141502301405
7163606614231101
oct23070214146015
94575582677445
101313223003149
11466a31171172
12192617887865
1396ab4748765
14477bb7a3901
152425ec2709e
hex131c230cc0d

1313223003149 has 2 divisors, whose sum is σ = 1313223003150. Its totient is φ = 1313223003148.

The previous prime is 1313223003109. The next prime is 1313223003161. The reversal of 1313223003149 is 9413003223131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 841778725225 + 471444277924 = 917485^2 + 686618^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313223003149 - 28 = 1313223002893 is a prime.

It is a super-3 number, since 3×13132230031493 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1313223003109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656611501574 + 656611501575.

It is an arithmetic number, because the mean of its divisors is an integer number (656611501575).

Almost surely, 21313223003149 is an apocalyptic number.

It is an amenable number.

1313223003149 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313223003149 is an equidigital number, since it uses as much as digits as its factorization.

1313223003149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 32.

The spelling of 1313223003149 in words is "one trillion, three hundred thirteen billion, two hundred twenty-three million, three thousand, one hundred forty-nine".