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1001100111113 is a prime number
BaseRepresentation
bin11101001000101100011…
…01110110110100001001
310112201000101110212020002
432210112031312310021
5112400223112023423
62043522105412345
7132220123354034
oct16442615666411
93481011425202
101001100111113
11356622a06733
1214202a49a0b5
1373532187c6b
143664c5b401b
151b093120228
hexe916376d09

1001100111113 has 2 divisors, whose sum is σ = 1001100111114. Its totient is φ = 1001100111112.

The previous prime is 1001100111107. The next prime is 1001100111149. The reversal of 1001100111113 is 3111110011001.

Adding to 1001100111113 its reverse (3111110011001), we get a palindrome (4112210122114).

1001100111113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 809231582329 + 191868528784 = 899573^2 + 438028^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001100111113 - 212 = 1001100107017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001100111094 and 1001100111103.

It is not a weakly prime, because it can be changed into another prime (1001100110113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550055556 + 500550055557.

It is an arithmetic number, because the mean of its divisors is an integer number (500550055557).

Almost surely, 21001100111113 is an apocalyptic number.

It is an amenable number.

1001100111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001100111113 is an equidigital number, since it uses as much as digits as its factorization.

1001100111113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 11.

The spelling of 1001100111113 in words is "one trillion, one billion, one hundred million, one hundred eleven thousand, one hundred thirteen".