Search a number
-
+
121101313 is a prime number
BaseRepresentation
bin1110011011111…
…01110000000001
322102212120202211
413031331300001
5222000220223
620003342121
73000226024
oct715756001
9272776684
10121101313
11623a4233
1234681941
131c1212a8
14121251bb
15a971d0d
hex737dc01

121101313 has 2 divisors, whose sum is σ = 121101314. Its totient is φ = 121101312.

The previous prime is 121101311. The next prime is 121101317. The reversal of 121101313 is 313101121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97061904 + 24039409 = 9852^2 + 4903^2 .

It is a cyclic number.

It is not a de Polignac number, because 121101313 - 21 = 121101311 is a prime.

Together with 121101311, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 121101293 and 121101302.

It is not a weakly prime, because it can be changed into another prime (121101311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60550656 + 60550657.

It is an arithmetic number, because the mean of its divisors is an integer number (60550657).

Almost surely, 2121101313 is an apocalyptic number.

It is an amenable number.

121101313 is a deficient number, since it is larger than the sum of its proper divisors (1).

121101313 is an equidigital number, since it uses as much as digits as its factorization.

121101313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 121101313 is about 11004.6041727997. The cubic root of 121101313 is about 494.7467507063.

Adding to 121101313 its reverse (313101121), we get a palindrome (434202434).

The spelling of 121101313 in words is "one hundred twenty-one million, one hundred one thousand, three hundred thirteen".