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2131013011 is a prime number
BaseRepresentation
bin111111100000100…
…1010110110010011
312111111212200021211
41333001022312103
513331014404021
6551243000551
7103544211631
oct17701126623
95444780254
102131013011
119a39a0686
124b5809157
1327c658c5a
14163040351
15c71413e1
hex7f04ad93

2131013011 has 2 divisors, whose sum is σ = 2131013012. Its totient is φ = 2131013010.

The previous prime is 2131012987. The next prime is 2131013023. The reversal of 2131013011 is 1103101312.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2131013011 is a prime.

It is a super-2 number, since 2×21310130112 = 9082432906102572242, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2131012982 and 2131013000.

It is not a weakly prime, because it can be changed into another prime (2131013081) 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, 1065506505 + 1065506506.

It is an arithmetic number, because the mean of its divisors is an integer number (1065506506).

Almost surely, 22131013011 is an apocalyptic number.

2131013011 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131013011 is an equidigital number, since it uses as much as digits as its factorization.

2131013011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 2131013011 is about 46162.8964754163. The cubic root of 2131013011 is about 1286.8522921252.

Adding to 2131013011 its reverse (1103101312), we get a palindrome (3234114323).

The spelling of 2131013011 in words is "two billion, one hundred thirty-one million, thirteen thousand, eleven".