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1331340334213 is a prime number
BaseRepresentation
bin10011010111111010000…
…100010101010010000101
311201021102101201101111011
4103113322010111102011
5133303041111143323
62455335335442221
7165120566060221
oct23277204252205
94637371641434
101331340334213
11473688a0214a
12196033226371
139871107a1b6
1448619a13781
152497055a20d
hex135fa115485

1331340334213 has 2 divisors, whose sum is σ = 1331340334214. Its totient is φ = 1331340334212.

The previous prime is 1331340334187. The next prime is 1331340334327. The reversal of 1331340334213 is 3124330431331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1178664149569 + 152676184644 = 1085663^2 + 390738^2 .

It is an emirp because it is prime and its reverse (3124330431331) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1331340334213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1331340331213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665670167106 + 665670167107.

It is an arithmetic number, because the mean of its divisors is an integer number (665670167107).

Almost surely, 21331340334213 is an apocalyptic number.

It is an amenable number.

1331340334213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331340334213 is an equidigital number, since it uses as much as digits as its factorization.

1331340334213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 1331340334213 its reverse (3124330431331), we get a palindrome (4455670765544).

The spelling of 1331340334213 in words is "one trillion, three hundred thirty-one billion, three hundred forty million, three hundred thirty-four thousand, two hundred thirteen".