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13331331321 = 371173790567
BaseRepresentation
bin11000110101001101…
…11111100011111001
31021102002020210120220
430122212333203321
5204300310100241
610042504410253
7651235306110
oct143246774371
937362223526
1013331331321
1157212095a0
122700776989
131345c1c739
14906776c77
1553059e166
hex31a9bf8f9

13331331321 has 32 divisors (see below), whose sum is σ = 22464780288. Its totient is φ = 6830490240.

The previous prime is 13331331319. The next prime is 13331331347. The reversal of 13331331321 is 12313313331.

It is not a de Polignac number, because 13331331321 - 21 = 13331331319 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13331331291 and 13331331300.

It is not an unprimeable number, because it can be changed into a prime (13331331301) 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, 378421 + ... + 412146.

It is an arithmetic number, because the mean of its divisors is an integer number (702024384).

Almost surely, 213331331321 is an apocalyptic number.

13331331321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13331331321 is a deficient number, since it is larger than the sum of its proper divisors (9133448967).

13331331321 is a wasteful number, since it uses less digits than its factorization.

13331331321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790661.

The product of its digits is 1458, while the sum is 24.

Adding to 13331331321 its reverse (12313313331), we get a palindrome (25644644652).

The spelling of 13331331321 in words is "thirteen billion, three hundred thirty-one million, three hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 11 21 33 73 77 219 231 511 803 1533 2409 5621 16863 790567 2371701 5533969 8696237 16601907 26088711 57711391 60873659 173134173 182620977 403979737 634825301 1211939211 1904475903 4443777107 13331331321