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1310110033301 is a prime number
BaseRepresentation
bin10011000100001000101…
…001001010010110010101
311122020121211011100122222
4103010020221022112111
5132431101132031201
62441504540432125
7163436514354206
oct23041051122625
94566554140588
101310110033301
11465683a60913
12191aa9248645
139670982c174
14475a41915ad
152412b7ba91b
hex13108a4a595

1310110033301 has 2 divisors, whose sum is σ = 1310110033302. Its totient is φ = 1310110033300.

The previous prime is 1310110033279. The next prime is 1310110033303. The reversal of 1310110033301 is 1033300110131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1124874481201 + 185235552100 = 1060601^2 + 430390^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1310110033301 is a prime.

Together with 1310110033303, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1310110033301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1310110033303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655055016650 + 655055016651.

It is an arithmetic number, because the mean of its divisors is an integer number (655055016651).

Almost surely, 21310110033301 is an apocalyptic number.

It is an amenable number.

1310110033301 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310110033301 is an equidigital number, since it uses as much as digits as its factorization.

1310110033301 is an evil number, because the sum of its binary digits is even.

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

Adding to 1310110033301 its reverse (1033300110131), we get a palindrome (2343410143432).

The spelling of 1310110033301 in words is "one trillion, three hundred ten billion, one hundred ten million, thirty-three thousand, three hundred one".