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13213201331 = 1121931397467
BaseRepresentation
bin11000100111001000…
…10111001110110011
31021002211222011201002
430103210113032303
5204030034420311
610023044432215
7645302233601
oct142344271663
937084864632
1013213201331
115670564800
1226890a866b
1313275cba35
148d4bc6871
1552501793b
hex3139173b3

13213201331 has 48 divisors (see below), whose sum is σ = 15854791680. Its totient is φ = 10961438400.

The previous prime is 13213201283. The next prime is 13213201349. The reversal of 13213201331 is 13310231231.

It is not a de Polignac number, because 13213201331 - 226 = 13146092467 is a prime.

It is a super-2 number, since 2×132132013312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13213201381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28293560 + ... + 28294026.

It is an arithmetic number, because the mean of its divisors is an integer number (330308160).

Almost surely, 213213201331 is an apocalyptic number.

13213201331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13213201331 is a deficient number, since it is larger than the sum of its proper divisors (2641590349).

13213201331 is a wasteful number, since it uses less digits than its factorization.

13213201331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13213201331 its reverse (13310231231), we get a palindrome (26523432562).

The spelling of 13213201331 in words is "thirteen billion, two hundred thirteen million, two hundred one thousand, three hundred thirty-one".

Divisors: 1 11 19 31 121 209 341 397 467 589 2299 3751 4367 5137 6479 7543 8873 12307 14477 48037 56507 71269 82973 97603 135377 159247 185399 233833 275063 912703 1073633 1489147 1751717 2039389 2572163 3025693 3522581 5747369 22433279 28293793 33282623 38748391 63221059 109200011 426232301 695431649 1201200121 13213201331