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311113121321 is a prime number
BaseRepresentation
bin1001000011011111100…
…10010111111000101001
31002202001000020002021002
410201233302113320221
520044124424340241
6354531241524345
731322446620062
oct4415762277051
91082030202232
10311113121321
1110aa40278892
12503671a36b5
1323451312242
14110b505b569
15815d14589b
hex486fc97e29

311113121321 has 2 divisors, whose sum is σ = 311113121322. Its totient is φ = 311113121320.

The previous prime is 311113121317. The next prime is 311113121357. The reversal of 311113121321 is 123121311113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 308935872400 + 2177248921 = 555820^2 + 46661^2 .

It is a cyclic number.

It is not a de Polignac number, because 311113121321 - 22 = 311113121317 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 311113121293 and 311113121302.

It is not a weakly prime, because it can be changed into another prime (311113121381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155556560660 + 155556560661.

It is an arithmetic number, because the mean of its divisors is an integer number (155556560661).

Almost surely, 2311113121321 is an apocalyptic number.

It is an amenable number.

311113121321 is a deficient number, since it is larger than the sum of its proper divisors (1).

311113121321 is an equidigital number, since it uses as much as digits as its factorization.

311113121321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108, while the sum is 20.

Adding to 311113121321 its reverse (123121311113), we get a palindrome (434234432434).

The spelling of 311113121321 in words is "three hundred eleven billion, one hundred thirteen million, one hundred twenty-one thousand, three hundred twenty-one".