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13102121331 = 3313341310937
BaseRepresentation
bin11000011001111001…
…01000000101110011
31020211002221201121000
430030330220011303
5203313120340311
610004035533043
7642453123315
oct141474500563
936732851530
1013102121331
115613895752
122657a5a183
13130a5a8c20
148c414d7b5
1551a3c5056
hex30cf28173

13102121331 has 32 divisors (see below), whose sum is σ = 20911705920. Its totient is φ = 8059744512.

The previous prime is 13102121317. The next prime is 13102121353. The reversal of 13102121331 is 13312120131.

13102121331 is a `hidden beast` number, since 1 + 310 + 2 + 1 + 21 + 331 = 666.

It is not a de Polignac number, because 13102121331 - 25 = 13102121299 is a prime.

It is a super-2 number, since 2×131021213312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13102121231) 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, 1192495 + ... + 1203431.

It is an arithmetic number, because the mean of its divisors is an integer number (653490810).

Almost surely, 213102121331 is an apocalyptic number.

13102121331 is a deficient number, since it is larger than the sum of its proper divisors (7809584589).

13102121331 is a wasteful number, since it uses less digits than its factorization.

13102121331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14372 (or 14366 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13102121331 its reverse (13312120131), we get a palindrome (26414241462).

The spelling of 13102121331 in words is "thirteen billion, one hundred two million, one hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 13 27 39 117 351 3413 10239 10937 30717 32811 44369 92151 98433 133107 142181 295299 399321 426543 1197963 1279629 3838887 37327981 111983943 335951829 485263753 1007855487 1455791259 4367373777 13102121331