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331322013073 is a prime number
BaseRepresentation
bin1001101001001000101…
…01001011010110010001
31011200012101211011010101
410310210111023112101
520412021413404243
6412112432332401
732636316433612
oct4644425132621
91150171734111
10331322013073
11118570703317
12542670a4101
132532206845c
1412070d9bc09
1589423c554d
hex4d2454b591

331322013073 has 2 divisors, whose sum is σ = 331322013074. Its totient is φ = 331322013072.

The previous prime is 331322013023. The next prime is 331322013101. The reversal of 331322013073 is 370310223133.

It is an a-pointer prime, because the next prime (331322013101) can be obtained adding 331322013073 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 249967001089 + 81355011984 = 499967^2 + 285228^2 .

It is a cyclic number.

It is not a de Polignac number, because 331322013073 - 29 = 331322012561 is a prime.

It is not a weakly prime, because it can be changed into another prime (331322013013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165661006536 + 165661006537.

It is an arithmetic number, because the mean of its divisors is an integer number (165661006537).

Almost surely, 2331322013073 is an apocalyptic number.

It is an amenable number.

331322013073 is a deficient number, since it is larger than the sum of its proper divisors (1).

331322013073 is an equidigital number, since it uses as much as digits as its factorization.

331322013073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 28.

The spelling of 331322013073 in words is "three hundred thirty-one billion, three hundred twenty-two million, thirteen thousand, seventy-three".