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103121220413 is a prime number
BaseRepresentation
bin110000000001010000…
…0001111001100111101
3100212011200202202201202
41200002200033030331
53142143013023123
6115212341345245
710310303624321
oct1400240171475
9325150682652
10103121220413
113a808271202
1217b9b108225
139955357523
144dc37bd981
152a38275a28
hex180280f33d

103121220413 has 2 divisors, whose sum is σ = 103121220414. Its totient is φ = 103121220412.

The previous prime is 103121220409. The next prime is 103121220421. The reversal of 103121220413 is 314022121301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101402122969 + 1719097444 = 318437^2 + 41462^2 .

It is a cyclic number.

It is not a de Polignac number, because 103121220413 - 22 = 103121220409 is a prime.

It is a super-3 number, since 3×1031212204133 (a number of 34 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103121220443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51560610206 + 51560610207.

It is an arithmetic number, because the mean of its divisors is an integer number (51560610207).

Almost surely, 2103121220413 is an apocalyptic number.

It is an amenable number.

103121220413 is a deficient number, since it is larger than the sum of its proper divisors (1).

103121220413 is an equidigital number, since it uses as much as digits as its factorization.

103121220413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 103121220413 its reverse (314022121301), we get a palindrome (417143341714).

The spelling of 103121220413 in words is "one hundred three billion, one hundred twenty-one million, two hundred twenty thousand, four hundred thirteen".