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1034110311313 is a prime number
BaseRepresentation
bin11110000110001011100…
…01110001101110010001
310122212012220222202222111
433003011301301232101
5113420324214430223
62111021432505321
7134466134420542
oct17030561615621
93585186882874
101034110311313
11369622347722
1214850154b241
13766930962c1
14380a071c4c9
151bd7615530d
hexf0c5c71b91

1034110311313 has 2 divisors, whose sum is σ = 1034110311314. Its totient is φ = 1034110311312.

The previous prime is 1034110311277. The next prime is 1034110311331. The reversal of 1034110311313 is 3131130114301.

1034110311313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (1034110311331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1002195203409 + 31915107904 = 1001097^2 + 178648^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1034110311313 is a prime.

It is not a weakly prime, because it can be changed into another prime (1034110311613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 517055155656 + 517055155657.

It is an arithmetic number, because the mean of its divisors is an integer number (517055155657).

Almost surely, 21034110311313 is an apocalyptic number.

It is an amenable number.

1034110311313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1034110311313 is an equidigital number, since it uses as much as digits as its factorization.

1034110311313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 1034110311313 its reverse (3131130114301), we get a palindrome (4165240425614).

The spelling of 1034110311313 in words is "one trillion, thirty-four billion, one hundred ten million, three hundred eleven thousand, three hundred thirteen".