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110100131311 is a prime number
BaseRepresentation
bin110011010001001111…
…0101010110111101111
3101112012001211011201011
41212202132222313233
53300441113200221
6122325043530051
710645245450322
oct1464236526757
9345161734634
10110100131311
1142769721265
1219408389927
13a4c81883c1
14548660a7b9
152ce5cc61e1
hex19a27aadef

110100131311 has 2 divisors, whose sum is σ = 110100131312. Its totient is φ = 110100131310.

The previous prime is 110100131299. The next prime is 110100131327. The reversal of 110100131311 is 113131001011.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 110100131311 - 235 = 75740392943 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110100131291 and 110100131300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110100131341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050065655 + 55050065656.

It is an arithmetic number, because the mean of its divisors is an integer number (55050065656).

Almost surely, 2110100131311 is an apocalyptic number.

110100131311 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100131311 is an equidigital number, since it uses as much as digits as its factorization.

110100131311 is an odious number, because the sum of its binary digits is odd.

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

Adding to 110100131311 its reverse (113131001011), we get a palindrome (223231132322).

The spelling of 110100131311 in words is "one hundred ten billion, one hundred million, one hundred thirty-one thousand, three hundred eleven".