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13223131131 = 3721722910733
BaseRepresentation
bin11000101000010100…
…01111011111111011
31021010112122122211110
430110022033133323
5204040110144011
610024041331403
7645452521500
oct142412173773
937115578743
1013223131131
115676127151
122690496b63
131329697662
148d624d4a7
15525d29ba6
hex31428f7fb

13223131131 has 72 divisors (see below), whose sum is σ = 22540111920. Its totient is φ = 6865732608.

The previous prime is 13223131109. The next prime is 13223131147. The reversal of 13223131131 is 13113132231.

It is a happy number.

It is not a de Polignac number, because 13223131131 - 29 = 13223130619 is a prime.

It is a super-2 number, since 2×132231311312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13223131098 and 13223131107.

It is not an unprimeable number, because it can be changed into a prime (13223131231) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1226641 + ... + 1237373.

It is an arithmetic number, because the mean of its divisors is an integer number (313057110).

Almost surely, 213223131131 is an apocalyptic number.

13223131131 is a deficient number, since it is larger than the sum of its proper divisors (9316980789).

13223131131 is a wasteful number, since it uses less digits than its factorization.

13223131131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10813 (or 10789 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

Adding to 13223131131 its reverse (13113132231), we get a palindrome (26336263362).

The spelling of 13223131131 in words is "thirteen billion, two hundred twenty-three million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 17 21 29 49 51 87 119 147 203 289 357 493 609 833 867 1421 1479 2023 2499 3451 4263 6069 8381 10353 10733 14161 24157 25143 32199 42483 58667 72471 75131 176001 182461 225393 311257 410669 525917 547383 933771 1232007 1277227 1577751 2178799 3101837 3831681 5291369 6536397 8940589 9305511 15251593 15874107 21712859 26821767 37039583 45754779 65138577 89953273 111118749 151990013 259277081 269859819 455970039 629672911 777831243 1889018733 4407710377 13223131131