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1300313013 = 31927184179
BaseRepresentation
bin100110110000001…
…0011001110110101
310100121202202010020
41031200103032311
510130340004023
6333010115353
744136323016
oct11540231665
93317682106
101300313013
11607aa145a
1230357bb59
131795175ac
14c49a300d
1579252de3
hex4d8133b5

1300313013 has 16 divisors (see below), whose sum is σ = 1831756800. Its totient is φ = 818210160.

The previous prime is 1300313009. The next prime is 1300313029. The reversal of 1300313013 is 3103130031.

It is not a de Polignac number, because 1300313013 - 22 = 1300313009 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1300312983 and 1300313001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300314013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26643 + ... + 57536.

It is an arithmetic number, because the mean of its divisors is an integer number (114484800).

Almost surely, 21300313013 is an apocalyptic number.

It is an amenable number.

1300313013 is a deficient number, since it is larger than the sum of its proper divisors (531443787).

1300313013 is a wasteful number, since it uses less digits than its factorization.

1300313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84472.

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 1300313013 is about 36059.8532026962. The cubic root of 1300313013 is about 1091.4804709447.

Adding to 1300313013 its reverse (3103130031), we get a palindrome (4403443044).

The spelling of 1300313013 in words is "one billion, three hundred million, three hundred thirteen thousand, thirteen".

Divisors: 1 3 19 57 271 813 5149 15447 84179 252537 1599401 4798203 22812509 68437527 433437671 1300313013