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1301311313 is a prime number
BaseRepresentation
bin100110110010000…
…0110111101010001
310100200122110112022
41031210012331101
510131113430223
6333043341225
744150651351
oct11544067521
93320573468
101301311313
116086134a5
12303981815
131797a6ac3
14c4b82b61
157939dac8
hex4d906f51

1301311313 has 2 divisors, whose sum is σ = 1301311314. Its totient is φ = 1301311312.

The previous prime is 1301311309. The next prime is 1301311337. The reversal of 1301311313 is 3131131031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1246654864 + 54656449 = 35308^2 + 7393^2 .

It is a cyclic number.

It is not a de Polignac number, because 1301311313 - 22 = 1301311309 is a prime.

It is a super-2 number, since 2×13013113132 = 3386822266683567938, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1301311291 and 1301311300.

It is not a weakly prime, because it can be changed into another prime (1301311303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 650655656 + 650655657.

It is an arithmetic number, because the mean of its divisors is an integer number (650655657).

Almost surely, 21301311313 is an apocalyptic number.

It is an amenable number.

1301311313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1301311313 is an equidigital number, since it uses as much as digits as its factorization.

1301311313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 1301311313 is about 36073.6928106896. The cubic root of 1301311313 is about 1091.7597232511.

Adding to 1301311313 its reverse (3131131031), we get a palindrome (4432442344).

The spelling of 1301311313 in words is "one billion, three hundred one million, three hundred eleven thousand, three hundred thirteen".