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113322112133 is a prime number
BaseRepresentation
bin110100110001010000…
…1100011010010000101
3101211111121112202111012
41221202201203102011
53324040430042013
6124020502052005
711121141026366
oct1514241432205
9354447482435
10113322112133
114407241812a
1219b6741a005
13a8bc851b29
1456b04b7b6d
152e33ab71a8
hex1a62863485

113322112133 has 2 divisors, whose sum is σ = 113322112134. Its totient is φ = 113322112132.

The previous prime is 113322112117. The next prime is 113322112139. The reversal of 113322112133 is 331211223311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103920482689 + 9401629444 = 322367^2 + 96962^2 .

It is an emirp because it is prime and its reverse (331211223311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113322112133 - 24 = 113322112117 is a prime.

It is a super-3 number, since 3×1133221121333 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113322112099 and 113322112108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113322112139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56661056066 + 56661056067.

It is an arithmetic number, because the mean of its divisors is an integer number (56661056067).

Almost surely, 2113322112133 is an apocalyptic number.

It is an amenable number.

113322112133 is a deficient number, since it is larger than the sum of its proper divisors (1).

113322112133 is an equidigital number, since it uses as much as digits as its factorization.

113322112133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 23.

Adding to 113322112133 its reverse (331211223311), we get a palindrome (444533335444).

The spelling of 113322112133 in words is "one hundred thirteen billion, three hundred twenty-two million, one hundred twelve thousand, one hundred thirty-three".