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13221132011321 = 138009126983413
BaseRepresentation
bin1100000001100100100011…
…1000001000011100111001
31201210221001102101121121212
43000121020320020130321
53213103334243330241
644041412035012505
72533123655602013
oct300311070103471
951727042347555
1013221132011321
114238061389863
12159641643a135
1374b9940604b0
14339c988a11b3
1517dda2e32beb
hexc0648e08739

13221132011321 has 8 divisors (see below), whose sum is σ = 14239920045960. Its totient is φ = 12202597959552.

The previous prime is 13221132011267. The next prime is 13221132011333. The reversal of 13221132011321 is 12311023112231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 91089879721 + 13130042131600 = 301811^2 + 3623540^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-13221132011321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13221132011341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63387590 + ... + 63595823.

It is an arithmetic number, because the mean of its divisors is an integer number (1779990005745).

Almost surely, 213221132011321 is an apocalyptic number.

It is an amenable number.

13221132011321 is a deficient number, since it is larger than the sum of its proper divisors (1018788034639).

13221132011321 is a wasteful number, since it uses less digits than its factorization.

13221132011321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126991435.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 13221132011321 its reverse (12311023112231), we get a palindrome (25532155123552).

The spelling of 13221132011321 in words is "thirteen trillion, two hundred twenty-one billion, one hundred thirty-two million, eleven thousand, three hundred twenty-one".

Divisors: 1 13 8009 104117 126983413 1650784369 1017010154717 13221132011321