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13431321123 = 3113719157593
BaseRepresentation
bin11001000001001000…
…11011001000100011
31021200001101210210220
430200210123020203
5210001404233443
610100435454123
7653561226423
oct144044331043
937601353726
1013431321123
1157726a33a0
12272a157343
13136085b6bc
14915b64483
15539250a83
hex32091b223

13431321123 has 32 divisors (see below), whose sum is σ = 20169879552. Its totient is φ = 7878585600.

The previous prime is 13431321047. The next prime is 13431321199. The reversal of 13431321123 is 32112313431.

It is an interprime number because it is at equal distance from previous prime (13431321047) and next prime (13431321199).

It is not a de Polignac number, because 13431321123 - 224 = 13414543907 is a prime.

It is a super-2 number, since 2×134313211232 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13431321093 and 13431321102.

It is not an unprimeable number, because it can be changed into a prime (13431321023) 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, 204415 + ... + 262007.

It is an arithmetic number, because the mean of its divisors is an integer number (630308736).

Almost surely, 213431321123 is an apocalyptic number.

13431321123 is a deficient number, since it is larger than the sum of its proper divisors (6738558429).

13431321123 is a wasteful number, since it uses less digits than its factorization.

13431321123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57835.

The product of its digits is 1296, while the sum is 24.

Adding to 13431321123 its reverse (32112313431), we get a palindrome (45543634554).

The spelling of 13431321123 in words is "thirteen billion, four hundred thirty-one million, three hundred twenty-one thousand, one hundred twenty-three".

Divisors: 1 3 11 33 37 111 191 407 573 1221 2101 6303 7067 21201 57593 77737 172779 233211 633523 1900569 2130941 6392823 11000263 23440351 33000789 70321053 121002893 363008679 407009731 1221029193 4477107041 13431321123