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31100132813 is a prime number
BaseRepresentation
bin11100111101101101…
…100101110111001101
32222021102101102212212
4130331231211313031
51002143113222223
622142011440205
72150455524101
oct347555456715
988242342785
1031100132813
111220a23a102
12603b456065
132c18291369
1417105bd901
15c204d9278
hex73db65dcd

31100132813 has 2 divisors, whose sum is σ = 31100132814. Its totient is φ = 31100132812.

The previous prime is 31100132803. The next prime is 31100132831. The reversal of 31100132813 is 31823100113.

Together with next prime (31100132831) 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., 27663007684 + 3437125129 = 166322^2 + 58627^2 .

It is a cyclic number.

It is not a de Polignac number, because 31100132813 - 222 = 31095938509 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31100132803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15550066406 + 15550066407.

It is an arithmetic number, because the mean of its divisors is an integer number (15550066407).

Almost surely, 231100132813 is an apocalyptic number.

It is an amenable number.

31100132813 is a deficient number, since it is larger than the sum of its proper divisors (1).

31100132813 is an equidigital number, since it uses as much as digits as its factorization.

31100132813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 31100132813 its reverse (31823100113), we get a palindrome (62923232926).

The spelling of 31100132813 in words is "thirty-one billion, one hundred million, one hundred thirty-two thousand, eight hundred thirteen".