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10113013121 is a prime number
BaseRepresentation
bin10010110101100100…
…00101010110000001
3222002210102021222112
421122302011112001
5131202412404441
64351300545105
7505416123161
oct113262052601
928083367875
1010113013121
11431a594492
121b629b2195
13c52239143
146bd1805a1
153e2c834eb
hex25ac85581

10113013121 has 2 divisors, whose sum is σ = 10113013122. Its totient is φ = 10113013120.

The previous prime is 10113013111. The next prime is 10113013151. The reversal of 10113013121 is 12131031101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8645280400 + 1467732721 = 92980^2 + 38311^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10113013121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10113013096 and 10113013105.

It is not a weakly prime, because it can be changed into another prime (10113013111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056506560 + 5056506561.

It is an arithmetic number, because the mean of its divisors is an integer number (5056506561).

Almost surely, 210113013121 is an apocalyptic number.

It is an amenable number.

10113013121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10113013121 is an equidigital number, since it uses as much as digits as its factorization.

10113013121 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 14.

Adding to 10113013121 its reverse (12131031101), we get a palindrome (22244044222).

The spelling of 10113013121 in words is "ten billion, one hundred thirteen million, thirteen thousand, one hundred twenty-one".