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1031113100011 is a prime number
BaseRepresentation
bin11110000000100110010…
…00010100101011101011
310122120111001012200000111
433000103020110223223
5113343204423200021
62105404204115151
7134331641511301
oct17002310245353
93576431180014
101031113100011
11368324511495
12147a05835ab7
137630614a1a7
1437c98640271
151bc4ce628e1
hexf013214aeb

1031113100011 has 2 divisors, whose sum is σ = 1031113100012. Its totient is φ = 1031113100010.

The previous prime is 1031113100009. The next prime is 1031113100053. The reversal of 1031113100011 is 1100013111301.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1031113100011 - 21 = 1031113100009 is a prime.

Together with 1031113100009, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1031113099964 and 1031113100000.

It is not a weakly prime, because it can be changed into another prime (1031113190011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515556550005 + 515556550006.

It is an arithmetic number, because the mean of its divisors is an integer number (515556550006).

Almost surely, 21031113100011 is an apocalyptic number.

1031113100011 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031113100011 is an equidigital number, since it uses as much as digits as its factorization.

1031113100011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 1031113100011 its reverse (1100013111301), we get a palindrome (2131126211312).

The spelling of 1031113100011 in words is "one trillion, thirty-one billion, one hundred thirteen million, one hundred thousand, eleven".