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1323131131 = 717411391951
BaseRepresentation
bin100111011011101…
…0110000011111011
310102012201000200201
41032313112003323
510202210144011
6335143143031
744534300110
oct11667260373
93365630621
101323131131
11619967003
1230b144a77
1318117663a
14c7a22907
157b25dcc1
hex4edd60fb

1323131131 has 32 divisors (see below), whose sum is σ = 1652797440. Its totient is φ = 1033344000.

The previous prime is 1323131129. The next prime is 1323131149. The reversal of 1323131131 is 1311313231.

It is a cyclic number.

It is not a de Polignac number, because 1323131131 - 21 = 1323131129 is a prime.

It is a super-2 number, since 2×13231311312 = 3501351979642678322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1323131099 and 1323131108.

It is not an unprimeable number, because it can be changed into a prime (1323131111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677206 + ... + 679156.

It is an arithmetic number, because the mean of its divisors is an integer number (51649920).

Almost surely, 21323131131 is an apocalyptic number.

1323131131 is a deficient number, since it is larger than the sum of its proper divisors (329666309).

1323131131 is a wasteful number, since it uses less digits than its factorization.

1323131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155.

The product of its digits is 162, while the sum is 19.

The square root of 1323131131 is about 36374.8694980477. The cubic root of 1323131131 is about 1097.8279815303.

Adding to 1323131131 its reverse (1311313231), we get a palindrome (2634444362).

The spelling of 1323131131 in words is "one billion, three hundred twenty-three million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 7 17 41 119 139 287 697 973 1951 2363 4879 5699 13657 16541 33167 39893 79991 96883 232169 271189 559937 678181 1359847 1898323 4610213 9518929 11118749 32271491 77831243 189018733 1323131131