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311313031001173 is a prime number
BaseRepresentation
bin100011011001000110011011…
…0101000000111010001010101
31111211021020100101122201222201
41012302030312220013101111
5311301023041414014143
63022035122044324501
7122400424056402115
oct10662146650072125
91454236311581881
10311313031001173
119021512a0a4793
122aaba674243731
1310492901292046
1456c38b9a29045
1525ece766ee64d
hex11b2336a07455

311313031001173 has 2 divisors, whose sum is σ = 311313031001174. Its totient is φ = 311313031001172.

The previous prime is 311313031001111. The next prime is 311313031001233. The reversal of 311313031001173 is 371100130313113.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 257890132045764 + 53422898955409 = 16058958^2 + 7309097^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311313031001173 is a prime.

It is a super-2 number, since 2×3113130310011732 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311313031008173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155656515500586 + 155656515500587.

It is an arithmetic number, because the mean of its divisors is an integer number (155656515500587).

Almost surely, 2311313031001173 is an apocalyptic number.

It is an amenable number.

311313031001173 is a deficient number, since it is larger than the sum of its proper divisors (1).

311313031001173 is an equidigital number, since it uses as much as digits as its factorization.

311313031001173 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1701, while the sum is 28.

Adding to 311313031001173 its reverse (371100130313113), we get a palindrome (682413161314286).

The spelling of 311313031001173 in words is "three hundred eleven trillion, three hundred thirteen billion, thirty-one million, one thousand, one hundred seventy-three".