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1303333322131 is a prime number
BaseRepresentation
bin10010111101110100101…
…110000011110110010011
311121121010112120202120101
4102331310232003312103
5132323211312302011
62434424300153231
7163106546306611
oct22756456036623
94547115522511
101303333322131
11462816756475
12190717838817
1395b998758b9
144712015a6b1
1523d818ab2c1
hex12f74b83d93

1303333322131 has 2 divisors, whose sum is σ = 1303333322132. Its totient is φ = 1303333322130.

The previous prime is 1303333322129. The next prime is 1303333322171. The reversal of 1303333322131 is 1312233333031.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1303333322131 - 21 = 1303333322129 is a prime.

It is a super-2 number, since 2×13033333221312 (a number of 25 digits) contains 22 as substring.

Together with 1303333322129, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 1303333322131.

It is not a weakly prime, because it can be changed into another prime (1303333322101) 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, 651666661065 + 651666661066.

It is an arithmetic number, because the mean of its divisors is an integer number (651666661066).

Almost surely, 21303333322131 is an apocalyptic number.

1303333322131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1303333322131 is an equidigital number, since it uses as much as digits as its factorization.

1303333322131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 1303333322131 its reverse (1312233333031), we get a palindrome (2615566655162).

The spelling of 1303333322131 in words is "one trillion, three hundred three billion, three hundred thirty-three million, three hundred twenty-two thousand, one hundred thirty-one".