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1021101313 is a prime number
BaseRepresentation
bin111100110111001…
…100010100000001
32122011101022200011
4330313030110001
54042400220223
6245153424521
734206134521
oct7467142401
92564338604
101021101313
11484426591
12245b6b141
1313371797b
1499881681
155e99d80d
hex3cdcc501

1021101313 has 2 divisors, whose sum is σ = 1021101314. Its totient is φ = 1021101312.

The previous prime is 1021101241. The next prime is 1021101359. The reversal of 1021101313 is 3131011201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 658846224 + 362255089 = 25668^2 + 19033^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021101313 - 229 = 484230401 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1021101293 and 1021101302.

It is not a weakly prime, because it can be changed into another prime (1021101113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510550656 + 510550657.

It is an arithmetic number, because the mean of its divisors is an integer number (510550657).

Almost surely, 21021101313 is an apocalyptic number.

It is an amenable number.

1021101313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021101313 is an equidigital number, since it uses as much as digits as its factorization.

1021101313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1021101313 is about 31954.6759176181. The cubic root of 1021101313 is about 1006.9848690114.

Adding to 1021101313 its reverse (3131011201), we get a palindrome (4152112514).

The spelling of 1021101313 in words is "one billion, twenty-one million, one hundred one thousand, three hundred thirteen".