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1312131331 = 7223840571
BaseRepresentation
bin100111000110101…
…1000100100000011
310101110000011210201
41032031120210003
510141401200311
6334111310031
744341634530
oct11615304403
93343004721
101312131331
11613733765
1230751b317
1317bac4994
14c639bd87
157a2d99c1
hex4e358903

1312131331 has 8 divisors (see below), whose sum is σ = 1506305024. Its totient is φ = 1119639240.

The previous prime is 1312131329. The next prime is 1312131343. The reversal of 1312131331 is 1331312131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1312131331 - 21 = 1312131329 is a prime.

It is a super-2 number, since 2×13121313312 = 3443377259583663122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1312131299 and 1312131308.

It is not an unprimeable number, because it can be changed into a prime (1312131311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 418725 + ... + 421846.

It is an arithmetic number, because the mean of its divisors is an integer number (188288128).

Almost surely, 21312131331 is an apocalyptic number.

1312131331 is a deficient number, since it is larger than the sum of its proper divisors (194173693).

1312131331 is an equidigital number, since it uses as much as digits as its factorization.

1312131331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840801.

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

The square root of 1312131331 is about 36223.3533925284. The cubic root of 1312131331 is about 1094.7772615345. Note that the first 3 decimals are identical.

Adding to 1312131331 its reverse (1331312131), we get a palindrome (2643443462).

The spelling of 1312131331 in words is "one billion, three hundred twelve million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 7 223 1561 840571 5883997 187447333 1312131331