1005101131 has 2 divisors, whose sum is σ = 1005101132. Its totient is φ = 1005101130.

The previous prime is 1005101129. The next prime is 1005101143. The reversal of 1005101131 is 1311015001.

1005101131 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 is a cyclic number.

It is not a de Polignac number, because 1005101131 - 2¹ = 1005101129 is a prime.

It is a super-2 number, since 2×1005101131² = 2020456567074958322, which contains 22 as substring.

Together with 1005101129, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1005101161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502550565 + 502550566.

It is an arithmetic number, because the mean of its divisors is an integer number (502550566).

Almost surely, 2^1005101131 is an apocalyptic number.

1005101131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005101131 is an equidigital number, since it uses as much as digits as its factorization.

1005101131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15, while the sum is 13.

The square root of 1005101131 is about 31703.3299670555. The cubic root of 1005101131 is about 1001.6974938841.

Adding to 1005101131 its reverse (1311015001), we get a palindrome (2316116132).

The spelling of 1005101131 in words is "one billion, five million, one hundred one thousand, one hundred thirty-one".