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333132231310013 is a prime number
BaseRepresentation
bin100101110111110110110010…
…0010011110111101010111101
31121200112010111222110011022202
41023233231210103313222331
5322131014302203410023
63140302500114521245
7130112003150052632
oct11357554423675275
91550463458404282
10333132231310013
1197167649920643
1231443312296225
13113b63085c0465
145c39986652189
15287a801a44128
hex12efb644f7abd

333132231310013 has 2 divisors, whose sum is σ = 333132231310014. Its totient is φ = 333132231310012.

The previous prime is 333132231310009. The next prime is 333132231310027. The reversal of 333132231310013 is 310013132231333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 271022038786009 + 62110192524004 = 16462747^2 + 7881002^2 .

It is a cyclic number.

It is not a de Polignac number, because 333132231310013 - 22 = 333132231310009 is a prime.

It is a super-2 number, since 2×3331322313100132 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (333132231310213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166566115655006 + 166566115655007.

It is an arithmetic number, because the mean of its divisors is an integer number (166566115655007).

Almost surely, 2333132231310013 is an apocalyptic number.

It is an amenable number.

333132231310013 is a deficient number, since it is larger than the sum of its proper divisors (1).

333132231310013 is an equidigital number, since it uses as much as digits as its factorization.

333132231310013 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 29.

Adding to 333132231310013 its reverse (310013132231333), we get a palindrome (643145363541346).

The spelling of 333132231310013 in words is "three hundred thirty-three trillion, one hundred thirty-two billion, two hundred thirty-one million, three hundred ten thousand, thirteen".