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1031312333213 is a prime number
BaseRepresentation
bin11110000000111110000…
…00010101100110011101
310122120222221002202120222
433000133000111212131
5113344111424130323
62105440042251125
7134336611123151
oct17003700254635
93576887082528
101031312333213
11368416a20328
12147a604b6aa5
13763384c6466
1437cb6ca3061
151bc606b99c8
hexf01f01599d

1031312333213 has 2 divisors, whose sum is σ = 1031312333214. Its totient is φ = 1031312333212.

The previous prime is 1031312333201. The next prime is 1031312333323. The reversal of 1031312333213 is 3123332131301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 961268476249 + 70043856964 = 980443^2 + 264658^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031312333213 - 28 = 1031312332957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1031312333413) 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 as a sum of consecutive naturals, namely, 515656166606 + 515656166607.

It is an arithmetic number, because the mean of its divisors is an integer number (515656166607).

Almost surely, 21031312333213 is an apocalyptic number.

It is an amenable number.

1031312333213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031312333213 is an equidigital number, since it uses as much as digits as its factorization.

1031312333213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 1031312333213 its reverse (3123332131301), we get a palindrome (4154644464514).

The spelling of 1031312333213 in words is "one trillion, thirty-one billion, three hundred twelve million, three hundred thirty-three thousand, two hundred thirteen".