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1301327313 = 311131392157
BaseRepresentation
bin100110110010000…
…1010110111010001
310100200200021110220
41031210022313101
510131114433223
6333043543253
744151046116
oct11544126721
93320607426
101301327313
11608624520
1230398ab29
131797b1180
14c4b8890d
15793a36e3
hex4d90add1

1301327313 has 48 divisors (see below), whose sum is σ = 2066291136. Its totient is φ = 718174080.

The previous prime is 1301327311. The next prime is 1301327383. The reversal of 1301327313 is 3137231031.

It is not a de Polignac number, because 1301327313 - 21 = 1301327311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1301327311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8288631 + ... + 8288787.

It is an arithmetic number, because the mean of its divisors is an integer number (43047732).

Almost surely, 21301327313 is an apocalyptic number.

1301327313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1301327313 is a deficient number, since it is larger than the sum of its proper divisors (764963823).

1301327313 is a wasteful number, since it uses less digits than its factorization.

1301327313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 1301327313 is about 36073.9145782656. The cubic root of 1301327313 is about 1091.7641977336.

Adding to 1301327313 its reverse (3137231031), we get a palindrome (4438558344).

The spelling of 1301327313 in words is "one billion, three hundred one million, three hundred twenty-seven thousand, three hundred thirteen".

Divisors: 1 3 11 13 33 39 139 143 157 417 429 471 1529 1727 1807 2041 4587 5181 5421 6123 19321 19877 21823 22451 57963 59631 65469 67353 212531 240053 251173 283699 637593 720159 753519 851097 2762903 3033397 3120689 8288709 9100191 9362067 33367367 39434161 100102101 118302483 433775771 1301327313