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131021423201329 is a prime number
BaseRepresentation
bin11101110010100111001101…
…011000110100110000110001
3122011220112012020222002200221
4131302213031120310300301
5114133123333314420304
61142354224430013041
736411662002521433
oct3562471530646061
9564815166862627
10131021423201329
1138824967748391
12128409b5647181
13581536203b6cb
14244d68391c653
15102327b9a5054
hex7729cd634c31

131021423201329 has 2 divisors, whose sum is σ = 131021423201330. Its totient is φ = 131021423201328.

The previous prime is 131021423201321. The next prime is 131021423201401. The reversal of 131021423201329 is 923102324120131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66268179837729 + 64753243363600 = 8140527^2 + 8046940^2 .

It is a cyclic number.

It is not a de Polignac number, because 131021423201329 - 23 = 131021423201321 is a prime.

It is a super-3 number, since 3×1310214232013293 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 131021423201294 and 131021423201303.

It is not a weakly prime, because it can be changed into another prime (131021423201321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65510711600664 + 65510711600665.

It is an arithmetic number, because the mean of its divisors is an integer number (65510711600665).

Almost surely, 2131021423201329 is an apocalyptic number.

It is an amenable number.

131021423201329 is a deficient number, since it is larger than the sum of its proper divisors (1).

131021423201329 is an equidigital number, since it uses as much as digits as its factorization.

131021423201329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 131021423201329 in words is "one hundred thirty-one trillion, twenty-one billion, four hundred twenty-three million, two hundred one thousand, three hundred twenty-nine".