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13323023131 = 1117559112743
BaseRepresentation
bin11000110100001110…
…10011001100011011
31021101111121200220011
430122013103030123
5204241143220011
610042010342351
7651104554015
oct143207231433
937344550804
1013323023131
115717554520
1226b9a2a9b7
1313442a0c52
149056131b5
1552e9ac621
hex31a1d331b

13323023131 has 16 divisors (see below), whose sum is σ = 15393120768. Its totient is φ = 11396444800.

The previous prime is 13323023107. The next prime is 13323023141. The reversal of 13323023131 is 13132032331.

13323023131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13323023131 - 25 = 13323023099 is a prime.

It is a super-2 number, since 2×133230231312 (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 (13323023101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1039146 + ... + 1051888.

It is an arithmetic number, because the mean of its divisors is an integer number (962070048).

Almost surely, 213323023131 is an apocalyptic number.

13323023131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13323023131 is a deficient number, since it is larger than the sum of its proper divisors (2070097637).

13323023131 is a wasteful number, since it uses less digits than its factorization.

13323023131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18362.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13323023131 its reverse (13132032331), we get a palindrome (26455055462).

The spelling of 13323023131 in words is "thirteen billion, three hundred twenty-three million, twenty-three thousand, one hundred thirty-one".

Divisors: 1 11 17 187 5591 12743 61501 95047 140173 216631 1045517 2382941 71246113 783707243 1211183921 13323023131