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13323210131 = 7111729350971
BaseRepresentation
bin11000110100010000…
…00000110110010011
31021101111222012102002
430122020000312103
5204241220211011
610042014344215
7651106263140
oct143210006623
937344865362
1013323210131
115717671a70
1226b9abb06b
1313443380ba
149056613c7
1552e9e7c3b
hex31a200d93

13323210131 has 32 divisors (see below), whose sum is σ = 18194388480. Its totient is φ = 9434073600.

The previous prime is 13323210113. The next prime is 13323210143. The reversal of 13323210131 is 13101232331.

It is not a de Polignac number, because 13323210131 - 218 = 13322947987 is a prime.

It is a super-2 number, since 2×133232101312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13323212131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137525 + ... + 213446.

It is an arithmetic number, because the mean of its divisors is an integer number (568574640).

Almost surely, 213323210131 is an apocalyptic number.

13323210131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13323210131 is a deficient number, since it is larger than the sum of its proper divisors (4871178349).

13323210131 is a wasteful number, since it uses less digits than its factorization.

13323210131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351035.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13323210131 its reverse (13101232331), we get a palindrome (26424442462).

The spelling of 13323210131 in words is "thirteen billion, three hundred twenty-three million, two hundred ten thousand, one hundred thirty-one".

Divisors: 1 7 11 17 29 77 119 187 203 319 493 1309 2233 3451 5423 37961 350971 2456797 3860681 5966507 10178159 27024767 41765549 65631577 71247113 111959749 173028703 459421039 783718243 1211200921 1903315733 13323210131