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13011313 = 721312027
BaseRepresentation
bin110001101000…
…100101110001
3220111001011111
4301220211301
511312330223
61142513321
7215410600
oct61504561
926431144
1013011313
117387657
124435841
132907403
141a29a37
15122030d
hexc68971

13011313 has 12 divisors (see below), whose sum is σ = 15258672. Its totient is φ = 11061960.

The previous prime is 13011311. The next prime is 13011319. The reversal of 13011313 is 31311031.

It is a happy number.

It is not a de Polignac number, because 13011313 - 21 = 13011311 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13011293 and 13011302.

It is not an unprimeable number, because it can be changed into a prime (13011311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5406 + ... + 7432.

It is an arithmetic number, because the mean of its divisors is an integer number (1271556).

Almost surely, 213011313 is an apocalyptic number.

It is an amenable number.

13011313 is a deficient number, since it is larger than the sum of its proper divisors (2247359).

13011313 is a wasteful number, since it uses less digits than its factorization.

13011313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 13011313 is about 3607.1197651312. The cubic root of 13011313 is about 235.2016557896.

Adding to 13011313 its reverse (31311031), we get a palindrome (44322344).

The spelling of 13011313 in words is "thirteen million, eleven thousand, three hundred thirteen".

Divisors: 1 7 49 131 917 2027 6419 14189 99323 265537 1858759 13011313