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1331310936181 is a prime number
BaseRepresentation
bin10011010111111000010…
…100001100000001110101
311201021100100101210222011
4103113320110030001311
5133303011044424211
62455332405404221
7165120061146532
oct23277024140165
94637310353864
101331310936181
11473673352a56
12196025409671
1398707c56205
1448615b5dd89
152496cb9e921
hex135f850c075

1331310936181 has 2 divisors, whose sum is σ = 1331310936182. Its totient is φ = 1331310936180.

The previous prime is 1331310936167. The next prime is 1331310936199. The reversal of 1331310936181 is 1816390131331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 904085295556 + 427225640625 = 950834^2 + 653625^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331310936181 - 25 = 1331310936149 is a prime.

It is a super-2 number, since 2×13313109361812 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1331310936581) 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, 665655468090 + 665655468091.

It is an arithmetic number, because the mean of its divisors is an integer number (665655468091).

Almost surely, 21331310936181 is an apocalyptic number.

It is an amenable number.

1331310936181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331310936181 is an equidigital number, since it uses as much as digits as its factorization.

1331310936181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 40.

The spelling of 1331310936181 in words is "one trillion, three hundred thirty-one billion, three hundred ten million, nine hundred thirty-six thousand, one hundred eighty-one".