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13023132331321 = 7471091592322807
BaseRepresentation
bin1011110110000010111100…
…1011010010110100111001
31201002222222111001201022101
42331200233023102310321
53201332333334100241
643410424442423401
72512614234231520
oct275405713226471
951088874051271
1013023132331321
114171096763692
121563b78801b61
137360cb29b228
1433047431d4b7
15178b653d5e31
hexbd82f2d2d39

13023132331321 has 32 divisors (see below), whose sum is σ = 15341339566080. Its totient is φ = 10823795470656.

The previous prime is 13023132331309. The next prime is 13023132331381. The reversal of 13023132331321 is 12313323132031.

It is a happy number.

It is not a de Polignac number, because 13023132331321 - 25 = 13023132331289 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13023132331321.

It is not an unprimeable number, because it can be changed into a prime (13023132331381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571003300 + ... + 571026106.

It is an arithmetic number, because the mean of its divisors is an integer number (479416861440).

Almost surely, 213023132331321 is an apocalyptic number.

It is an amenable number.

13023132331321 is a deficient number, since it is larger than the sum of its proper divisors (2318207234759).

13023132331321 is a wasteful number, since it uses less digits than its factorization.

13023132331321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38893.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 13023132331321 its reverse (12313323132031), we get a palindrome (25336455463352).

The spelling of 13023132331321 in words is "thirteen trillion, twenty-three billion, one hundred thirty-two million, three hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 7 47 109 329 763 5123 15923 22807 35861 111461 159649 748381 1071929 1735607 2485963 5238667 7503503 12149249 17401741 81573529 116840261 363155861 571014703 817881827 2542091027 17068325467 39583988849 119478278269 277087921943 1860447475903 13023132331321