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331300030133 is a prime number
BaseRepresentation
bin1001101001000110000…
…01010100011010110101
31011200010212110022012102
410310203001110122311
520412000301431013
6412110325231445
732635631535452
oct4644301243265
91150125408172
10331300030133
1111855a2591a6
125425b862585
132531a63c5b7
141206c0b8829
1589404d1d58
hex4d230546b5

331300030133 has 2 divisors, whose sum is σ = 331300030134. Its totient is φ = 331300030132.

The previous prime is 331300030111. The next prime is 331300030147. The reversal of 331300030133 is 331030003133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 302392209604 + 28907820529 = 549902^2 + 170023^2 .

It is a cyclic number.

It is not a de Polignac number, because 331300030133 - 214 = 331300013749 is a prime.

It is a super-2 number, since 2×3313000301332 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331300030183) 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, 165650015066 + 165650015067.

It is an arithmetic number, because the mean of its divisors is an integer number (165650015067).

Almost surely, 2331300030133 is an apocalyptic number.

It is an amenable number.

331300030133 is a deficient number, since it is larger than the sum of its proper divisors (1).

331300030133 is an equidigital number, since it uses as much as digits as its factorization.

331300030133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 20.

Adding to 331300030133 its reverse (331030003133), we get a palindrome (662330033266).

The spelling of 331300030133 in words is "three hundred thirty-one billion, three hundred million, thirty thousand, one hundred thirty-three".