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1303211133001 is a prime number
BaseRepresentation
bin10010111101101101011…
…011111100100001001001
311121120211000122220121001
4102331231123330201021
5132322434022224001
62434404213215001
7163103533600231
oct22755533744111
94546730586531
101303211133001
11462763789a18
121906a2931461
1395b7a46343b
144710bc30cc1
1523d75cc2001
hex12f6d6fc849

1303211133001 has 2 divisors, whose sum is σ = 1303211133002. Its totient is φ = 1303211133000.

The previous prime is 1303211132969. The next prime is 1303211133023. The reversal of 1303211133001 is 1003311123031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1159153689600 + 144057443401 = 1076640^2 + 379549^2 .

It is a cyclic number.

It is not a de Polignac number, because 1303211133001 - 25 = 1303211132969 is a prime.

It is a super-2 number, since 2×13032111330012 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1303211133001.

It is not a weakly prime, because it can be changed into another prime (1303211433001) 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, 651605566500 + 651605566501.

It is an arithmetic number, because the mean of its divisors is an integer number (651605566501).

Almost surely, 21303211133001 is an apocalyptic number.

It is an amenable number.

1303211133001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1303211133001 is an equidigital number, since it uses as much as digits as its factorization.

1303211133001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1303211133001 its reverse (1003311123031), we get a palindrome (2306522256032).

The spelling of 1303211133001 in words is "one trillion, three hundred three billion, two hundred eleven million, one hundred thirty-three thousand, one".