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13131013123323 = 325327528329399
BaseRepresentation
bin1011111100010100110101…
…0111110110110011111011
31201111022102212210202211100
42333011031113312303323
53210114303324421243
643532145410302443
72523453513645144
oct277051527666373
951438385722740
1013131013123323
114202916646427
121580a65887a23
137433317134b4
14335789c96acb
1517b87b4200d3
hexbf14d5f6cfb

13131013123323 has 12 divisors (see below), whose sum is σ = 19324887238800. Its totient is φ = 8588838772176.

The previous prime is 13131013123309. The next prime is 13131013123363. The reversal of 13131013123323 is 32332131013131.

13131013123323 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 10 + 1 + 312 + 332 + 3 = 666.

It is not a de Polignac number, because 13131013123323 - 24 = 13131013123307 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13131013123363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13764164223 + ... + 13764165176.

It is an arithmetic number, because the mean of its divisors is an integer number (1610407269900).

Almost surely, 213131013123323 is an apocalyptic number.

13131013123323 is a deficient number, since it is larger than the sum of its proper divisors (6193874115477).

13131013123323 is a wasteful number, since it uses less digits than its factorization.

13131013123323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27528329458 (or 27528329455 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13131013123323 its reverse (32332131013131), we get a palindrome (45463144136454).

The spelling of 13131013123323 in words is "thirteen trillion, one hundred thirty-one billion, thirteen million, one hundred twenty-three thousand, three hundred twenty-three".

Divisors: 1 3 9 53 159 477 27528329399 82584988197 247754964591 1459001458147 4377004374441 13131013123323