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13331113313 = 72436599601
BaseRepresentation
bin11000110101001100…
…01010010101100001
31021102001211201112112
430122212022111201
5204300231111223
610042500005105
7651233410400
oct143246122541
937361751475
1013331113313
11572107a821
122700690795
131345b7443b
1490671b637
15530559778
hex31a98a561

13331113313 has 24 divisors (see below), whose sum is σ = 15893998560. Its totient is φ = 11142835200.

The previous prime is 13331113259. The next prime is 13331113331. The reversal of 13331113313 is 31331113331.

It is not a de Polignac number, because 13331113313 - 26 = 13331113249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13331113333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1383713 + ... + 1393313.

It is an arithmetic number, because the mean of its divisors is an integer number (662249940).

Almost surely, 213331113313 is an apocalyptic number.

It is an amenable number.

13331113313 is a deficient number, since it is larger than the sum of its proper divisors (2562885247).

13331113313 is an equidigital number, since it uses as much as digits as its factorization.

13331113313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10317 (or 10310 counting only the distinct ones).

The product of its digits is 729, while the sum is 23.

Adding to 13331113313 its reverse (31331113331), we get a palindrome (44662226644).

The spelling of 13331113313 in words is "thirteen billion, three hundred thirty-one million, one hundred thirteen thousand, three hundred thirteen".

Divisors: 1 7 43 49 301 659 2107 4613 9601 28337 32291 67207 198359 412843 470449 1388513 2889901 6327059 20229307 44289413 272063537 310025891 1904444759 13331113313