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313421510032601 is a prime number
BaseRepresentation
bin100011101000011100010000…
…1110001010011110011011001
31112002201210200220221100200112
41013100320201301103303121
5312040044223032020401
63030331504243414105
7123005646124431005
oct10720704161236331
91462653626840615
10313421510032601
1190958352593463
122b19b231684335
13105b66a1b9bab9
14575797969b705
152637c2ced73bb
hex11d0e21c53cd9

313421510032601 has 2 divisors, whose sum is σ = 313421510032602. Its totient is φ = 313421510032600.

The previous prime is 313421510032511. The next prime is 313421510032619. The reversal of 313421510032601 is 106230015124313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 306663979806976 + 6757530225625 = 17511824^2 + 2599525^2 .

It is an emirp because it is prime and its reverse (106230015124313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313421510032601 - 210 = 313421510031577 is a prime.

It is a super-2 number, since 2×3134215100326012 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (313421510032621) 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, 156710755016300 + 156710755016301.

It is an arithmetic number, because the mean of its divisors is an integer number (156710755016301).

Almost surely, 2313421510032601 is an apocalyptic number.

It is an amenable number.

313421510032601 is a deficient number, since it is larger than the sum of its proper divisors (1).

313421510032601 is an equidigital number, since it uses as much as digits as its factorization.

313421510032601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 313421510032601 its reverse (106230015124313), we get a palindrome (419651525156914).

The spelling of 313421510032601 in words is "three hundred thirteen trillion, four hundred twenty-one billion, five hundred ten million, thirty-two thousand, six hundred one".