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312120213213331 is a prime number
BaseRepresentation
bin100011011110111110010011…
…0011011111001000010010011
31111221010101211022101122212001
41012331330212123321002103
5311402234144040311311
63023454014012414431
7122512640564114155
oct10675744633710223
91457111738348761
10312120213213331
11904a6491446806
122b00aba3a77417
1310520a6b2113a3
1457109adbbcad5
152613e6a2ee4c1
hex11bdf266f9093

312120213213331 has 2 divisors, whose sum is σ = 312120213213332. Its totient is φ = 312120213213330.

The previous prime is 312120213213329. The next prime is 312120213213373. The reversal of 312120213213331 is 133312312021213.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 312120213213331 - 21 = 312120213213329 is a prime.

It is a super-2 number, since 2×3121202132133312 (a number of 30 digits) contains 22 as substring.

Together with 312120213213329, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 312120213213331.

It is not a weakly prime, because it can be changed into another prime (312120213223331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156060106606665 + 156060106606666.

It is an arithmetic number, because the mean of its divisors is an integer number (156060106606666).

Almost surely, 2312120213213331 is an apocalyptic number.

312120213213331 is a deficient number, since it is larger than the sum of its proper divisors (1).

312120213213331 is an equidigital number, since it uses as much as digits as its factorization.

312120213213331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 312120213213331 its reverse (133312312021213), we get a palindrome (445432525234544).

The spelling of 312120213213331 in words is "three hundred twelve trillion, one hundred twenty billion, two hundred thirteen million, two hundred thirteen thousand, three hundred thirty-one".