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313064801153381 is a prime number
BaseRepresentation
bin100011100101110110001010…
…0010000111011000101100101
31112001110200222021020210011102
41013023230110100323011211
5312013223203043402011
63025455552330245445
7122641120422122054
oct10713542420730545
91461420867223142
10313064801153381
1190830044739932
122b142080586885
131058bb65406974
1457445bac1039b
15262d801ec273b
hex11cbb1443b165

313064801153381 has 2 divisors, whose sum is σ = 313064801153382. Its totient is φ = 313064801153380.

The previous prime is 313064801153309. The next prime is 313064801153491. The reversal of 313064801153381 is 183351108460313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 300546118822756 + 12518682330625 = 17336266^2 + 3538175^2 .

It is a cyclic number.

It is not a de Polignac number, because 313064801153381 - 210 = 313064801152357 is a prime.

It is a super-2 number, since 2×3130648011533812 (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 (313064801153581) 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, 156532400576690 + 156532400576691.

It is an arithmetic number, because the mean of its divisors is an integer number (156532400576691).

Almost surely, 2313064801153381 is an apocalyptic number.

It is an amenable number.

313064801153381 is a deficient number, since it is larger than the sum of its proper divisors (1).

313064801153381 is an equidigital number, since it uses as much as digits as its factorization.

313064801153381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 313064801153381 in words is "three hundred thirteen trillion, sixty-four billion, eight hundred one million, one hundred fifty-three thousand, three hundred eighty-one".