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3121013213 is a prime number
BaseRepresentation
bin1011101000000110…
…1110000111011101
322001111201220020222
42322001232013131
522342434410323
61233410051125
7140225113613
oct27201560735
98044656228
103121013213
11136180446a
12731279aa5
133a97a46a6
142187076b3
15133ee99c8
hexba06e1dd

3121013213 has 2 divisors, whose sum is σ = 3121013214. Its totient is φ = 3121013212.

The previous prime is 3121013209. The next prime is 3121013237. The reversal of 3121013213 is 3123101213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1759550809 + 1361462404 = 41947^2 + 36898^2 .

It is a cyclic number.

It is not a de Polignac number, because 3121013213 - 22 = 3121013209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3121013191 and 3121013200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3121013293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1560506606 + 1560506607.

It is an arithmetic number, because the mean of its divisors is an integer number (1560506607).

Almost surely, 23121013213 is an apocalyptic number.

It is an amenable number.

3121013213 is a deficient number, since it is larger than the sum of its proper divisors (1).

3121013213 is an equidigital number, since it uses as much as digits as its factorization.

3121013213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 3121013213 is about 55866.0291501016. The cubic root of 3121013213 is about 1461.3868746087.

Adding to 3121013213 its reverse (3123101213), we get a palindrome (6244114426).

The spelling of 3121013213 in words is "three billion, one hundred twenty-one million, thirteen thousand, two hundred thirteen".