1024131020 has 48 divisors (see below), whose sum is σ = 2350016928. Its totient is φ = 371804160.

The previous prime is 1024131019. The next prime is 1024131037. The reversal of 1024131020 is 201314201.

It is a super-2 number, since 2×1024131020² = 2097688692252480800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1024130986 and 1024131004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144602 + ... + 151518.

It is an arithmetic number, because the mean of its divisors is an integer number (48958686).

Almost surely, 2^1024131020 is an apocalyptic number.

1024131020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024131020 is an abundant number, since it is smaller than the sum of its proper divisors (1325885908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1024131020 is a wasteful number, since it uses less digits than its factorization.

1024131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7610 (or 7608 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1024131020 is about 32002.0471220202. The cubic root of 1024131020 is about 1007.9798263263.

Adding to 1024131020 its reverse (201314201), we get a palindrome (1225445221).

The spelling of 1024131020 in words is "one billion, twenty-four million, one hundred thirty-one thousand, twenty".