1024131113 has 12 divisors (see below), whose sum is σ = 1047380880. Its totient is φ = 1001168520.

The previous prime is 1024131083. The next prime is 1024131127. The reversal of 1024131113 is 3111314201.

It is not a de Polignac number, because 1024131113 - 2⁶ = 1024131049 is a prime.

It is a super-2 number, since 2×1024131113² = 2097689073229237538, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1024131091 and 1024131100.

It is not an unprimeable number, because it can be changed into a prime (1024131413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2444018 + ... + 2444436.

It is an arithmetic number, because the mean of its divisors is an integer number (87281740).

Almost surely, 2^1024131113 is an apocalyptic number.

It is an amenable number.

1024131113 is a deficient number, since it is larger than the sum of its proper divisors (23249767).

1024131113 is an frugal number, since it uses more digits than its factorization.

1024131113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 1024131113 is about 32002.0485750522. The cubic root of 1024131113 is about 1007.9798568374.

Adding to 1024131113 its reverse (3111314201), we get a palindrome (4135445314).

The spelling of 1024131113 in words is "one billion, twenty-four million, one hundred thirty-one thousand, one hundred thirteen".