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1300023013 is a prime number
BaseRepresentation
bin100110101111100…
…1100011011100101
310100121020000022111
41031133030123211
510130301214023
6333000001021
744134004362
oct11537143345
93317200274
101300023013
11607913593
12303460171
131794455b3
14c4929469
15791e700d
hex4d7cc6e5

1300023013 has 2 divisors, whose sum is σ = 1300023014. Its totient is φ = 1300023012.

The previous prime is 1300022989. The next prime is 1300023017. The reversal of 1300023013 is 3103200031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1299386209 + 636804 = 36047^2 + 798^2 .

It is a cyclic number.

It is not a de Polignac number, because 1300023013 - 25 = 1300022981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1300022984 and 1300023002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1300023017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 650011506 + 650011507.

It is an arithmetic number, because the mean of its divisors is an integer number (650011507).

Almost surely, 21300023013 is an apocalyptic number.

It is an amenable number.

1300023013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1300023013 is an equidigital number, since it uses as much as digits as its factorization.

1300023013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1300023013 is about 36055.8318861180. The cubic root of 1300023013 is about 1091.3993230806.

Adding to 1300023013 its reverse (3103200031), we get a palindrome (4403223044).

The spelling of 1300023013 in words is "one billion, three hundred million, twenty-three thousand, thirteen".