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233121313213 is a prime number
BaseRepresentation
bin1101100100011100011…
…1001111000110111101
3211021201121212201122121
43121013013033012331
512304413024010323
6255032222442541
722561651316245
oct3310707170675
9737647781577
10233121313213
118a9589a4028
123921ba33451
1318ca2262369
14b3d6cb0b25
1560e6106a5d
hex36471cf1bd

233121313213 has 2 divisors, whose sum is σ = 233121313214. Its totient is φ = 233121313212.

The previous prime is 233121313189. The next prime is 233121313261. The reversal of 233121313213 is 312313121332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 180146766969 + 52974546244 = 424437^2 + 230162^2 .

It is a cyclic number.

It is not a de Polignac number, because 233121313213 - 237 = 95682359741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233121313013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116560656606 + 116560656607.

It is an arithmetic number, because the mean of its divisors is an integer number (116560656607).

Almost surely, 2233121313213 is an apocalyptic number.

It is an amenable number.

233121313213 is a deficient number, since it is larger than the sum of its proper divisors (1).

233121313213 is an equidigital number, since it uses as much as digits as its factorization.

233121313213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1944, while the sum is 25.

Adding to 233121313213 its reverse (312313121332), we get a palindrome (545434434545).

The spelling of 233121313213 in words is "two hundred thirty-three billion, one hundred twenty-one million, three hundred thirteen thousand, two hundred thirteen".