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121133203313 is a prime number
BaseRepresentation
bin111000011010000011…
…0011111111101110001
3102120122222111022012112
41300310012133331301
53441040100001223
6131351532535105
711515536145103
oct1606406377561
9376588438175
10121133203313
1147410598591
121b587321495
13b565bc2085
145c11a49573
15323e6e9778
hex1c3419ff71

121133203313 has 2 divisors, whose sum is σ = 121133203314. Its totient is φ = 121133203312.

The previous prime is 121133203309. The next prime is 121133203337. The reversal of 121133203313 is 313302331121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120841750129 + 291453184 = 347623^2 + 17072^2 .

It is a cyclic number.

It is not a de Polignac number, because 121133203313 - 22 = 121133203309 is a prime.

It is a super-4 number, since 4×1211332033134 (a number of 45 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (121133233313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60566601656 + 60566601657.

It is an arithmetic number, because the mean of its divisors is an integer number (60566601657).

Almost surely, 2121133203313 is an apocalyptic number.

It is an amenable number.

121133203313 is a deficient number, since it is larger than the sum of its proper divisors (1).

121133203313 is an equidigital number, since it uses as much as digits as its factorization.

121133203313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 121133203313 its reverse (313302331121), we get a palindrome (434435534434).

The spelling of 121133203313 in words is "one hundred twenty-one billion, one hundred thirty-three million, two hundred three thousand, three hundred thirteen".