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1310013 = 37599
BaseRepresentation
bin100111111110100111101
32110120000000
410333310331
5313410023
644024513
714064165
oct4776475
92416000
101310013
11815261
12532139
1336b373
142615a5
151ad243
hex13fd3d

1310013 has 16 divisors (see below), whose sum is σ = 1968000. Its totient is φ = 871884.

The previous prime is 1309999. The next prime is 1310033. The reversal of 1310013 is 3100131.

It is not a de Polignac number, because 1310013 - 26 = 1309949 is a prime.

It is a super-2 number, since 2×13100132 = 3432268120338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

1310013 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1309977 and 1310004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310033) 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, 1888 + ... + 2486.

It is an arithmetic number, because the mean of its divisors is an integer number (123000).

21310013 is an apocalyptic number.

It is an amenable number.

1310013 is a deficient number, since it is larger than the sum of its proper divisors (657987).

1310013 is an frugal number, since it uses more digits than its factorization.

1310013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1310013 is about 1144.5579932882. The cubic root of 1310013 is about 109.4187800790.

Adding to 1310013 its reverse (3100131), we get a palindrome (4410144).

The spelling of 1310013 in words is "one million, three hundred ten thousand, thirteen".

Divisors: 1 3 9 27 81 243 599 729 1797 2187 5391 16173 48519 145557 436671 1310013