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31323133313 is a prime number
BaseRepresentation
bin11101001011000000…
…010001010110000001
32222211222000001001122
4131023000101112001
51003122210231223
622220055242025
72156134145243
oct351300212601
988758001048
1031323133313
111231410173a
1260a2079315
132c5253c714
14173206c093
15c34d885c8
hex74b011581

31323133313 has 2 divisors, whose sum is σ = 31323133314. Its totient is φ = 31323133312.

The previous prime is 31323133307. The next prime is 31323133399. The reversal of 31323133313 is 31333132313.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27571938304 + 3751195009 = 166048^2 + 61247^2 .

It is a cyclic number.

It is not a de Polignac number, because 31323133313 - 26 = 31323133249 is a prime.

It is a super-2 number, since 2×313231333132 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31328133313) 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 as a sum of consecutive naturals, namely, 15661566656 + 15661566657.

It is an arithmetic number, because the mean of its divisors is an integer number (15661566657).

Almost surely, 231323133313 is an apocalyptic number.

It is an amenable number.

31323133313 is a deficient number, since it is larger than the sum of its proper divisors (1).

31323133313 is an equidigital number, since it uses as much as digits as its factorization.

31323133313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4374, while the sum is 26.

Adding to 31323133313 its reverse (31333132313), we get a palindrome (62656265626).

The spelling of 31323133313 in words is "thirty-one billion, three hundred twenty-three million, one hundred thirty-three thousand, three hundred thirteen".