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1331203300081 is a prime number
BaseRepresentation
bin10011010111110001111…
…001100101101011110001
311201021001211212022222221
4103113301321211223301
5133302301021100311
62455314002401041
7165114313231624
oct23276171455361
94637054768887
101331203300081
114736186163a6
12195bb5360181
13986bb86ab05
1448605741dbb
15249634dc671
hex135f1e65af1

1331203300081 has 2 divisors, whose sum is σ = 1331203300082. Its totient is φ = 1331203300080.

The previous prime is 1331203300079. The next prime is 1331203300111. The reversal of 1331203300081 is 1800033021331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1302316898481 + 28886401600 = 1141191^2 + 169960^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331203300081 - 21 = 1331203300079 is a prime.

It is a super-2 number, since 2×13312033000812 (a number of 25 digits) contains 22 as substring.

Together with 1331203300079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1331203300981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665601650040 + 665601650041.

It is an arithmetic number, because the mean of its divisors is an integer number (665601650041).

Almost surely, 21331203300081 is an apocalyptic number.

It is an amenable number.

1331203300081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331203300081 is an equidigital number, since it uses as much as digits as its factorization.

1331203300081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 25.

The spelling of 1331203300081 in words is "one trillion, three hundred thirty-one billion, two hundred three million, three hundred thousand, eighty-one".