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1331314420993 is a prime number
BaseRepresentation
bin10011010111111000100…
…001011110110100000001
311201021100120221212020021
4103113320201132310001
5133303012442432433
62455333012213441
7165120132602404
oct23277041366401
94637316855207
101331314420993
11473675313167
1219602660a281
13987088a642b
14486163c9d3b
152496d13c22d
hex135f885ed01

1331314420993 has 2 divisors, whose sum is σ = 1331314420994. Its totient is φ = 1331314420992.

The previous prime is 1331314420987. The next prime is 1331314421011. The reversal of 1331314420993 is 3990244131331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 983554178049 + 347760242944 = 991743^2 + 589712^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331314420993 - 233 = 1322724486401 is a prime.

It is not a weakly prime, because it can be changed into another prime (1331314420903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665657210496 + 665657210497.

It is an arithmetic number, because the mean of its divisors is an integer number (665657210497).

Almost surely, 21331314420993 is an apocalyptic number.

It is an amenable number.

1331314420993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331314420993 is an equidigital number, since it uses as much as digits as its factorization.

1331314420993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 209952, while the sum is 43.

The spelling of 1331314420993 in words is "one trillion, three hundred thirty-one billion, three hundred fourteen million, four hundred twenty thousand, nine hundred ninety-three".