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133431363134341 is a prime number
BaseRepresentation
bin11110010101101011101001…
…000000000110001110000101
3122111102220200010010020100221
4132111223221000012032011
5114442114412430244331
61151441304430304341
740051045365126166
oct3625535100061605
9574386603106327
10133431363134341
1139573a17a39338
1212b6ba856580b1
13595b6a6329c7c
1424d418073976d
151065cc8d21711
hex795ae9006385

133431363134341 has 2 divisors, whose sum is σ = 133431363134342. Its totient is φ = 133431363134340.

The previous prime is 133431363134297. The next prime is 133431363134371. The reversal of 133431363134341 is 143431363134331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117136246702500 + 16295116431841 = 10822950^2 + 4036721^2 .

It is an emirp because it is prime and its reverse (143431363134331) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133431363134341 is a prime.

It is a super-2 number, since 2×1334313631343412 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133431363134371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66715681567170 + 66715681567171.

It is an arithmetic number, because the mean of its divisors is an integer number (66715681567171).

Almost surely, 2133431363134341 is an apocalyptic number.

It is an amenable number.

133431363134341 is a deficient number, since it is larger than the sum of its proper divisors (1).

133431363134341 is an equidigital number, since it uses as much as digits as its factorization.

133431363134341 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 839808, while the sum is 43.

The spelling of 133431363134341 in words is "one hundred thirty-three trillion, four hundred thirty-one billion, three hundred sixty-three million, one hundred thirty-four thousand, three hundred forty-one".