1023330113 has 8 divisors (see below), whose sum is σ = 1166874408. Its totient is φ = 889046784.

The previous prime is 1023330097. The next prime is 1023330149. The reversal of 1023330113 is 3110333201.

It can be written as a sum of positive squares in 4 ways, for example, as 97969 + 1023232144 = 313^2 + 31988^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1023330113 - 2⁴ = 1023330097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1023330091 and 1023330100.

It is not an unprimeable number, because it can be changed into a prime (1023330613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2315006 + ... + 2315447.

It is an arithmetic number, because the mean of its divisors is an integer number (145859301).

Almost surely, 2^1023330113 is an apocalyptic number.

1023330113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1023330113 is a deficient number, since it is larger than the sum of its proper divisors (143544295).

1023330113 is a wasteful number, since it uses less digits than its factorization.

1023330113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4630483.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 1023330113 is about 31989.5313032248. The cubic root of 1023330113 is about 1007.7169990709.

Adding to 1023330113 its reverse (3110333201), we get a palindrome (4133663314).

The spelling of 1023330113 in words is "one billion, twenty-three million, three hundred thirty thousand, one hundred thirteen".