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1113311030101 is a prime number
BaseRepresentation
bin10000001100110110100…
…000100010101101010101
310221102122120010011021121
4100030312200202231111
5121220030110430401
62211240435043541
7143301612421324
oct20146640425525
93842576104247
101113311030101
1139a175063a16
1215b9257405b1
1380ca573a44a
143bc552780bb
151de5e38eca1
hex10336822b55

1113311030101 has 2 divisors, whose sum is σ = 1113311030102. Its totient is φ = 1113311030100.

The previous prime is 1113311030099. The next prime is 1113311030107. The reversal of 1113311030101 is 1010301133111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1047081492900 + 66229537201 = 1023270^2 + 257351^2 .

It is a cyclic number.

It is not a de Polignac number, because 1113311030101 - 21 = 1113311030099 is a prime.

It is a super-2 number, since 2×11133110301012 (a number of 25 digits) contains 22 as substring.

Together with 1113311030099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1113311030107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 556655515050 + 556655515051.

It is an arithmetic number, because the mean of its divisors is an integer number (556655515051).

Almost surely, 21113311030101 is an apocalyptic number.

It is an amenable number.

1113311030101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1113311030101 is an equidigital number, since it uses as much as digits as its factorization.

1113311030101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 1113311030101 its reverse (1010301133111), we get a palindrome (2123612163212).

The spelling of 1113311030101 in words is "one trillion, one hundred thirteen billion, three hundred eleven million, thirty thousand, one hundred one".