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332313014440013 is a prime number
BaseRepresentation
bin100101110001111001010011…
…1001011100001000001001101
31121120121210222100101021111012
41023203302213023201001031
5322024104023144040023
63134434254042135005
7126665552200415555
oct11343624713410115
91546553870337435
10332313014440013
11969811812a6002
12313305a41b1465
1311356ca12934b9
145c0c07001c165
152864356629978
hex12e3ca72e104d

332313014440013 has 2 divisors, whose sum is σ = 332313014440014. Its totient is φ = 332313014440012.

The previous prime is 332313014439997. The next prime is 332313014440051. The reversal of 332313014440013 is 310044410313233.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 175598594855044 + 156714419584969 = 13251362^2 + 12518563^2 .

It is a cyclic number.

It is not a de Polignac number, because 332313014440013 - 24 = 332313014439997 is a prime.

It is a super-2 number, since 2×3323130144400132 (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 (332313014440313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166156507220006 + 166156507220007.

It is an arithmetic number, because the mean of its divisors is an integer number (166156507220007).

Almost surely, 2332313014440013 is an apocalyptic number.

It is an amenable number.

332313014440013 is a deficient number, since it is larger than the sum of its proper divisors (1).

332313014440013 is an equidigital number, since it uses as much as digits as its factorization.

332313014440013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 332313014440013 its reverse (310044410313233), we get a palindrome (642357424753246).

The spelling of 332313014440013 in words is "three hundred thirty-two trillion, three hundred thirteen billion, fourteen million, four hundred forty thousand, thirteen".