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300031121213 is a prime number
BaseRepresentation
bin1000101110110110011…
…11111001011100111101
31001200102200111011000122
410113123033321130331
514403430431334323
6345455444104325
730451023310625
oct4273317713475
91050380434018
10300031121213
1110627382310a
124a1939950a5
13223a6407025
1410743323885
157c102a9ec8
hex45db3f973d

300031121213 has 2 divisors, whose sum is σ = 300031121214. Its totient is φ = 300031121212.

The previous prime is 300031121107. The next prime is 300031121233. The reversal of 300031121213 is 312121130003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 248205232804 + 51825888409 = 498202^2 + 227653^2 .

It is an emirp because it is prime and its reverse (312121130003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 300031121213 - 224 = 300014343997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 300031121191 and 300031121200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300031121233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150015560606 + 150015560607.

It is an arithmetic number, because the mean of its divisors is an integer number (150015560607).

Almost surely, 2300031121213 is an apocalyptic number.

It is an amenable number.

300031121213 is a deficient number, since it is larger than the sum of its proper divisors (1).

300031121213 is an equidigital number, since it uses as much as digits as its factorization.

300031121213 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.

Adding to 300031121213 its reverse (312121130003), we get a palindrome (612152251216).

The spelling of 300031121213 in words is "three hundred billion, thirty-one million, one hundred twenty-one thousand, two hundred thirteen".