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213331012393 is a prime number
BaseRepresentation
bin1100011010101110000…
…1001110101100101001
3202101122101221021121011
43012223201032230221
511443400214344033
6242000343543521
721261353454232
oct3065341165451
9671571837534
10213331012393
1182522882114
123541815aba1
131716a1596a5
14a47a7b4089
1558389adccd
hex31ab84eb29

213331012393 has 2 divisors, whose sum is σ = 213331012394. Its totient is φ = 213331012392.

The previous prime is 213331012303. The next prime is 213331012397. The reversal of 213331012393 is 393210133312.

213331012393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210890355984 + 2440656409 = 459228^2 + 49403^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213331012393 is a prime.

It is not a weakly prime, because it can be changed into another prime (213331012397) 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, 106665506196 + 106665506197.

It is an arithmetic number, because the mean of its divisors is an integer number (106665506197).

Almost surely, 2213331012393 is an apocalyptic number.

It is an amenable number.

213331012393 is a deficient number, since it is larger than the sum of its proper divisors (1).

213331012393 is an equidigital number, since it uses as much as digits as its factorization.

213331012393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 31.

The spelling of 213331012393 in words is "two hundred thirteen billion, three hundred thirty-one million, twelve thousand, three hundred ninety-three".