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1331031113 is a prime number
BaseRepresentation
bin100111101010101…
…1110110001001001
310102202120101102122
41033111132301021
510211220443423
6340024341025
744661402116
oct11725366111
93382511378
101331031113
11623372415
12311914775
131829b1399
14c8abb90d
157bcbe8c8
hex4f55ec49

1331031113 has 2 divisors, whose sum is σ = 1331031114. Its totient is φ = 1331031112.

The previous prime is 1331031109. The next prime is 1331031131. The reversal of 1331031113 is 3111301331.

Together with next prime (1331031131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 781034809 + 549996304 = 27947^2 + 23452^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331031113 - 22 = 1331031109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1331031091 and 1331031100.

It is not a weakly prime, because it can be changed into another prime (1331031193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665515556 + 665515557.

It is an arithmetic number, because the mean of its divisors is an integer number (665515557).

Almost surely, 21331031113 is an apocalyptic number.

It is an amenable number.

1331031113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331031113 is an equidigital number, since it uses as much as digits as its factorization.

1331031113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 1331031113 is about 36483.2990969841. The cubic root of 1331031113 is about 1100.0085710076.

Adding to 1331031113 its reverse (3111301331), we get a palindrome (4442332444).

The spelling of 1331031113 in words is "one billion, three hundred thirty-one million, thirty-one thousand, one hundred thirteen".