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113321001121 is a prime number
BaseRepresentation
bin110100110001001110…
…1010100000010100001
3101211111112110022110121
41221202131110002201
53324040134013441
6124020422200241
711121125421316
oct1514235240241
9354445408417
10113321001121
1144071829439
1219b66b83081
13a8bc553223
1456b02a8d0d
152e33947dd1
hex1a627540a1

113321001121 has 2 divisors, whose sum is σ = 113321001122. Its totient is φ = 113321001120.

The previous prime is 113321001109. The next prime is 113321001179. The reversal of 113321001121 is 121100123311.

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., 77206179600 + 36114821521 = 277860^2 + 190039^2 .

It is a cyclic number.

It is not a de Polignac number, because 113321001121 - 27 = 113321000993 is a prime.

It is a super-3 number, since 3×1133210011213 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113321001095 and 113321001104.

It is not a weakly prime, because it can be changed into another prime (113321601121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56660500560 + 56660500561.

It is an arithmetic number, because the mean of its divisors is an integer number (56660500561).

Almost surely, 2113321001121 is an apocalyptic number.

It is an amenable number.

113321001121 is a deficient number, since it is larger than the sum of its proper divisors (1).

113321001121 is an equidigital number, since it uses as much as digits as its factorization.

113321001121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 113321001121 its reverse (121100123311), we get a palindrome (234421124432).

The spelling of 113321001121 in words is "one hundred thirteen billion, three hundred twenty-one million, one thousand, one hundred twenty-one".