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312131330204231 is a prime number
BaseRepresentation
bin100011011111000011011110…
…1000011110110001001000111
31111221011110112001222022102202
41012332012331003312021013
5311402424431013013411
63023503053100225115
7122513513224016306
oct10676067503661107
91457143461868382
10312131330204231
119050017672059a
122b011186b3b19b
1310521b2044b105
14571134642443d
1526143bb29c83b
hex11be1bd0f6247

312131330204231 has 2 divisors, whose sum is σ = 312131330204232. Its totient is φ = 312131330204230.

The previous prime is 312131330204189. The next prime is 312131330204263. The reversal of 312131330204231 is 132402033131213.

It is a strong prime.

It is an emirp because it is prime and its reverse (132402033131213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312131330204231 - 26 = 312131330204167 is a prime.

It is a super-5 number, since 5×3121313302042315 (a number of 74 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 312131330204194 and 312131330204203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312131330204831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156065665102115 + 156065665102116.

It is an arithmetic number, because the mean of its divisors is an integer number (156065665102116).

Almost surely, 2312131330204231 is an apocalyptic number.

312131330204231 is a deficient number, since it is larger than the sum of its proper divisors (1).

312131330204231 is an equidigital number, since it uses as much as digits as its factorization.

312131330204231 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 312131330204231 its reverse (132402033131213), we get a palindrome (444533363335444).

The spelling of 312131330204231 in words is "three hundred twelve trillion, one hundred thirty-one billion, three hundred thirty million, two hundred four thousand, two hundred thirty-one".