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13212331023321 = 32231374111113329
BaseRepresentation
bin1100000001000011110001…
…0011000001101111011001
31201210002100001210002202100
43000100330103001233121
53212432323220221241
644033354443154013
72532362610461613
oct300207423015731
951702301702670
1013212331023321
114234355466261
12159477ab15909
1374abc08ac8a1
143396a1a91db3
1517da3a4679b6
hexc043c4c1bd9

13212331023321 has 48 divisors (see below), whose sum is σ = 20064654005760. Its totient is φ = 8361648092160.

The previous prime is 13212331023301. The next prime is 13212331023341. The reversal of 13212331023321 is 12332013321231.

13212331023321 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 3 + 310 + 23 + 321 = 666.

It is an interprime number because it is at equal distance from previous prime (13212331023301) and next prime (13212331023341).

It is not a de Polignac number, because 13212331023321 - 27 = 13212331023193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13212331023301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116527185 + ... + 116640513.

It is an arithmetic number, because the mean of its divisors is an integer number (418013625120).

Almost surely, 213212331023321 is an apocalyptic number.

It is an amenable number.

13212331023321 is a deficient number, since it is larger than the sum of its proper divisors (6852322982439).

13212331023321 is a wasteful number, since it uses less digits than its factorization.

13212331023321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117606 (or 117603 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13212331023321 its reverse (12332013321231), we get a palindrome (25544344344552).

The spelling of 13212331023321 in words is "thirteen trillion, two hundred twelve billion, three hundred thirty-one million, twenty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 23 69 137 207 411 1233 3151 4111 9453 12333 28359 36999 94553 113329 283659 339987 563207 850977 1019961 1689621 2606567 5068863 7819701 12953761 15526073 23459103 38861283 46578219 116583849 139734657 357099679 465895519 1071299037 1397686557 3213897111 4193059671 10715596937 32146790811 63827686103 96440372433 191483058309 574449174927 1468036780369 4404110341107 13212331023321