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1110100133113 is a prime number
BaseRepresentation
bin10000001001110111000…
…111111100010011111001
310221010100210020200122221
4100021313013330103321
5121141441113224423
62205550054244041
7143126213304526
oct20116707742371
93833323220587
101110100133113
11398877648544
1215b18a356621
13808b34549ba
143ba2ca5414d
151dd2253ce5d
hex102771fc4f9

1110100133113 has 2 divisors, whose sum is σ = 1110100133114. Its totient is φ = 1110100133112.

The previous prime is 1110100133111. The next prime is 1110100133159. The reversal of 1110100133113 is 3113310010111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 589266563769 + 520833569344 = 767637^2 + 721688^2 .

It is a cyclic number.

It is not a de Polignac number, because 1110100133113 - 21 = 1110100133111 is a prime.

Together with 1110100133111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1110100133111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 555050066556 + 555050066557.

It is an arithmetic number, because the mean of its divisors is an integer number (555050066557).

Almost surely, 21110100133113 is an apocalyptic number.

It is an amenable number.

1110100133113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1110100133113 is an equidigital number, since it uses as much as digits as its factorization.

1110100133113 is an evil number, because the sum of its binary digits is even.

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

Adding to 1110100133113 its reverse (3113310010111), we get a palindrome (4223410143224).

The spelling of 1110100133113 in words is "one trillion, one hundred ten billion, one hundred million, one hundred thirty-three thousand, one hundred thirteen".