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313341013125311 is a prime number
BaseRepresentation
bin100011100111110110110001…
…1110001111110100010111111
31112002110002220221210210000212
41013033231203301332202333
5312032234343330002221
63030230512455343035
7123000066260133053
oct10717554361764277
91462402827723025
10313341013125311
11909271a51425a6
122b187707381a7b
13105abc13b25802
145753b00933c63
152635abb0b1b5b
hex11cfb63c7e8bf

313341013125311 has 2 divisors, whose sum is σ = 313341013125312. Its totient is φ = 313341013125310.

The previous prime is 313341013125251. The next prime is 313341013125319. The reversal of 313341013125311 is 113521310143313.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313341013125311 is a prime.

It is a super-3 number, since 3×3133410131253113 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313341013125319) 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, 156670506562655 + 156670506562656.

It is an arithmetic number, because the mean of its divisors is an integer number (156670506562656).

Almost surely, 2313341013125311 is an apocalyptic number.

313341013125311 is a deficient number, since it is larger than the sum of its proper divisors (1).

313341013125311 is an equidigital number, since it uses as much as digits as its factorization.

313341013125311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 32.

Adding to 313341013125311 its reverse (113521310143313), we get a palindrome (426862323268624).

The spelling of 313341013125311 in words is "three hundred thirteen trillion, three hundred forty-one billion, thirteen million, one hundred twenty-five thousand, three hundred eleven".