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1313122213021 is a prime number
BaseRepresentation
bin10011000110111100001…
…011101101110010011101
311122112101202002221102211
4103012330023231302131
5133003233241304041
62443123502120421
7163604251435243
oct23067413556235
94575352087384
101313122213021
1146698a290043
121925a9b80111
1396a998b9428
14477ac248793
1524255e68481
hex131bc2edc9d

1313122213021 has 2 divisors, whose sum is σ = 1313122213022. Its totient is φ = 1313122213020.

The previous prime is 1313122212977. The next prime is 1313122213043. The reversal of 1313122213021 is 1203122213131.

It is an a-pointer prime, because the next prime (1313122213043) can be obtained adding 1313122213021 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1054295650521 + 258826562500 = 1026789^2 + 508750^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313122213021 - 211 = 1313122210973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313122212983 and 1313122213001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1313122213061) 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, 656561106510 + 656561106511.

It is an arithmetic number, because the mean of its divisors is an integer number (656561106511).

Almost surely, 21313122213021 is an apocalyptic number.

It is an amenable number.

1313122213021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313122213021 is an equidigital number, since it uses as much as digits as its factorization.

1313122213021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1313122213021 its reverse (1203122213131), we get a palindrome (2516244426152).

The spelling of 1313122213021 in words is "one trillion, three hundred thirteen billion, one hundred twenty-two million, two hundred thirteen thousand, twenty-one".