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13321312203331 = 11431011066726141
BaseRepresentation
bin1100000111011001110000…
…0101001111001001000011
31202011111122011002122211201
43001312130011033021003
53221224021411001311
644155420520122031
72543301351305446
oct301663405171103
952144564078751
1013321312203331
11427659a4a8880
1215b1914606317
1375826acb0312
14340a7d82965d
151817b7db29c1
hexc1d9c14f243

13321312203331 has 32 divisors (see below), whose sum is σ = 15019515092736. Its totient is φ = 11709988080000.

The previous prime is 13321312203317. The next prime is 13321312203371. The reversal of 13321312203331 is 13330221312331.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13321312203331 - 211 = 13321312201283 is a prime.

It is a super-2 number, since 2×133213122033312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13321312203331.

It is not an unprimeable number, because it can be changed into a prime (13321312203371) 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, 509581521 + ... + 509607661.

It is an arithmetic number, because the mean of its divisors is an integer number (469359846648).

Almost surely, 213321312203331 is an apocalyptic number.

13321312203331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13321312203331 is a deficient number, since it is larger than the sum of its proper divisors (1698202889405).

13321312203331 is a wasteful number, since it uses less digits than its factorization.

13321312203331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36963.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 13321312203331 its reverse (13330221312331), we get a palindrome (26651533515662).

The spelling of 13321312203331 in words is "thirteen trillion, three hundred twenty-one billion, three hundred twelve million, two hundred three thousand, three hundred thirty-one".

Divisors: 1 11 43 101 473 1111 4343 10667 26141 47773 117337 287551 458681 1077367 1124063 2640241 5045491 11851037 12364693 29042651 46326781 113530363 278846047 509594591 1248833993 3067306517 11990380021 28163450747 131894180231 309797958217 1211028382121 13321312203331