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13313222120031 = 317550574741333
BaseRepresentation
bin1100000110111011100111…
…1000000001001001011111
31202010201202100011211212220
43001232321320001021133
53221110434330320111
644152002041400423
72542564024604661
oct301567170011137
952121670154786
1013313222120031
1142731188a2519
1215b0237199113
1375757bbb9392
143405131d2531
15181492a20e06
hexc1bb9e0125f

13313222120031 has 16 divisors (see below), whose sum is σ = 18795482450784. Its totient is φ = 8353240786944.

The previous prime is 13313222119999. The next prime is 13313222120047. The reversal of 13313222120031 is 13002122231331.

13313222120031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13313222120031 - 25 = 13313222119999 is a prime.

It is a super-2 number, since 2×133132221200312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13313222119983 and 13313222120010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313222120071) 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, 437241 + ... + 5178573.

It is an arithmetic number, because the mean of its divisors is an integer number (1174717653174).

Almost surely, 213313222120031 is an apocalyptic number.

13313222120031 is a deficient number, since it is larger than the sum of its proper divisors (5482260330753).

13313222120031 is a wasteful number, since it uses less digits than its factorization.

13313222120031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4796410.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13313222120031 its reverse (13002122231331), we get a palindrome (26315344351362).

The spelling of 13313222120031 in words is "thirteen trillion, three hundred thirteen billion, two hundred twenty-two million, one hundred twenty thousand, thirty-one".

Divisors: 1 3 17 51 55057 165171 935969 2807907 4741333 14223999 80602661 241807983 261043570981 783130712943 4437740706677 13313222120031