1020241313 has 16 divisors (see below), whose sum is σ = 1271585280. Its totient is φ = 797000256.

The previous prime is 1020241307. The next prime is 1020241331. The reversal of 1020241313 is 3131420201.

It is not a de Polignac number, because 1020241313 - 2⁴ = 1020241297 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1020241291 and 1020241300.

It is not an unprimeable number, because it can be changed into a prime (1020243313) 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 in 15 ways as a sum of consecutive naturals, for example, 63770 + ... + 78147.

It is an arithmetic number, because the mean of its divisors is an integer number (79474080).

Almost surely, 2^1020241313 is an apocalyptic number.

1020241313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1020241313 is a deficient number, since it is larger than the sum of its proper divisors (251343967).

1020241313 is a wasteful number, since it uses less digits than its factorization.

1020241313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142016.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1020241313 is about 31941.2165234826. The cubic root of 1020241313 is about 1006.7020860282.

Adding to 1020241313 its reverse (3131420201), we get a palindrome (4151661514).

It can be divided in two parts, 10202 and 41313, that added together give a palindrome (51515).

The spelling of 1020241313 in words is "one billion, twenty million, two hundred forty-one thousand, three hundred thirteen".