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1303013221331 is a prime number
BaseRepresentation
bin10010111101100001101…
…000111110001111010011
311121120022020020221211012
4102331201220332033103
5132322032341040311
62434332423241135
7163065611431253
oct22754150761723
94546266227735
101303013221331
11462671aa2a58
121906485a91ab
1395b4845a843
14470cd833963
1523d6372b78b
hex12f61a3e3d3

1303013221331 has 2 divisors, whose sum is σ = 1303013221332. Its totient is φ = 1303013221330.

The previous prime is 1303013221243. The next prime is 1303013221337. The reversal of 1303013221331 is 1331223103031.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1303013221331 - 222 = 1303009027027 is a prime.

It is a super-2 number, since 2×13030132213312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1303013221297 and 1303013221306.

It is not a weakly prime, because it can be changed into another prime (1303013221337) 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, 651506610665 + 651506610666.

It is an arithmetic number, because the mean of its divisors is an integer number (651506610666).

Almost surely, 21303013221331 is an apocalyptic number.

1303013221331 is a deficient number, since it is larger than the sum of its proper divisors (1).

1303013221331 is an equidigital number, since it uses as much as digits as its factorization.

1303013221331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 1303013221331 its reverse (1331223103031), we get a palindrome (2634236324362).

The spelling of 1303013221331 in words is "one trillion, three hundred three billion, thirteen million, two hundred twenty-one thousand, three hundred thirty-one".