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113021333213 is a prime number
BaseRepresentation
bin110100101000010011…
…0001010111011011101
3101210201122120121101012
41221100212022323131
53322431430130323
6123530555225005
711110526324045
oct1512046127335
9353648517335
10113021333213
1143a28661508
1219aa2748165
13a872440639
145682580725
152e174a2678
hex1a5098aedd

113021333213 has 2 divisors, whose sum is σ = 113021333214. Its totient is φ = 113021333212.

The previous prime is 113021333149. The next prime is 113021333231. The reversal of 113021333213 is 312333120311.

Together with next prime (113021333231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79184834404 + 33836498809 = 281398^2 + 183947^2 .

It is a cyclic number.

It is not a de Polignac number, because 113021333213 - 26 = 113021333149 is a prime.

It is a super-2 number, since 2×1130213332132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113021333813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56510666606 + 56510666607.

It is an arithmetic number, because the mean of its divisors is an integer number (56510666607).

Almost surely, 2113021333213 is an apocalyptic number.

It is an amenable number.

113021333213 is a deficient number, since it is larger than the sum of its proper divisors (1).

113021333213 is an equidigital number, since it uses as much as digits as its factorization.

113021333213 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 113021333213 its reverse (312333120311), we get a palindrome (425354453524).

The spelling of 113021333213 in words is "one hundred thirteen billion, twenty-one million, three hundred thirty-three thousand, two hundred thirteen".