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13131320321 = 722912772763
BaseRepresentation
bin11000011101011000…
…00000110000000001
31020220010220012002002
430032230000300001
5203343104222241
610011001433345
7643256244500
oct141654006001
936803805062
1013131320321
115629319349
12266579b855
131313660432
148c7d90837
1551cc4189b
hex30eb00c01

13131320321 has 24 divisors (see below), whose sum is σ = 15926584320. Its totient is φ = 10781582112.

The previous prime is 13131320317. The next prime is 13131320327. The reversal of 13131320321 is 12302313131.

It is not a de Polignac number, because 13131320321 - 22 = 13131320317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13131320293 and 13131320302.

It is not an unprimeable number, because it can be changed into a prime (13131320327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144086 + ... + 216848.

It is an arithmetic number, because the mean of its divisors is an integer number (663607680).

Almost surely, 213131320321 is an apocalyptic number.

It is an amenable number.

13131320321 is a deficient number, since it is larger than the sum of its proper divisors (2795263999).

13131320321 is a wasteful number, since it uses less digits than its factorization.

13131320321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72933 (or 72926 counting only the distinct ones).

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

Adding to 13131320321 its reverse (12302313131), we get a palindrome (25433633452).

The spelling of 13131320321 in words is "thirteen billion, one hundred thirty-one million, three hundred twenty thousand, three hundred twenty-one".

Divisors: 1 7 29 49 127 203 889 1421 3683 6223 25781 72763 180467 509341 2110127 3565387 9240901 14770889 64686307 103396223 267986129 452804149 1875902903 13131320321