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113121201329 is a prime number
BaseRepresentation
bin110100101011010001…
…1001000110010110001
3101210222121111102200022
41221112203020302301
53323133011420304
6123544523533225
711113151226533
oct1512643106261
9353877442608
10113121201329
1143a79a72944
1219b1008a215
13a88a0390b6
145691939853
152e2112cebe
hex1a568c8cb1

113121201329 has 2 divisors, whose sum is σ = 113121201330. Its totient is φ = 113121201328.

The previous prime is 113121201307. The next prime is 113121201371. The reversal of 113121201329 is 923102121311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112479744400 + 641456929 = 335380^2 + 25327^2 .

It is a cyclic number.

It is not a de Polignac number, because 113121201329 - 28 = 113121201073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113121201298 and 113121201307.

It is not a weakly prime, because it can be changed into another prime (113121201029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56560600664 + 56560600665.

It is an arithmetic number, because the mean of its divisors is an integer number (56560600665).

Almost surely, 2113121201329 is an apocalyptic number.

It is an amenable number.

113121201329 is a deficient number, since it is larger than the sum of its proper divisors (1).

113121201329 is an equidigital number, since it uses as much as digits as its factorization.

113121201329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 113121201329 in words is "one hundred thirteen billion, one hundred twenty-one million, two hundred one thousand, three hundred twenty-nine".