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13322221021213 = 131498226183609
BaseRepresentation
bin1100000111011101001001…
…0000000110100000011101
31202011120222111012101121021
43001313102100012200131
53221232402040134323
644200051023204141
72543333025161326
oct301672220064035
952146874171537
1013322221021213
114276a16503135
1215b1b28a46651
13758384373490
14340b283dd44d
1518181ca8205d
hexc1dd240681d

13322221021213 has 16 divisors (see below), whose sum is σ = 14443644222000. Its totient is φ = 12214607086080.

The previous prime is 13322221021201. The next prime is 13322221021217. The reversal of 13322221021213 is 31212012222331.

It can be written as a sum of positive squares in 8 ways, for example, as 6426539343844 + 6895681677369 = 2535062^2 + 2625963^2 .

It is a cyclic number.

It is not a de Polignac number, because 13322221021213 - 233 = 13313631086621 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13322221021217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159297753 + ... + 159381361.

It is an arithmetic number, because the mean of its divisors is an integer number (902727763875).

Almost surely, 213322221021213 is an apocalyptic number.

13322221021213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13322221021213 is a deficient number, since it is larger than the sum of its proper divisors (1121423200787).

13322221021213 is a wasteful number, since it uses less digits than its factorization.

13322221021213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166032.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 13322221021213 its reverse (31212012222331), we get a palindrome (44534233243544).

The spelling of 13322221021213 in words is "thirteen trillion, three hundred twenty-two billion, two hundred twenty-one million, twenty-one thousand, two hundred thirteen".

Divisors: 1 13 149 1937 82261 83609 1069393 1086917 12256889 12457741 159339557 161950633 6877759949 89410879337 1024786232401 13322221021213