1023313000 has 32 divisors (see below), whose sum is σ = 2394554760. Its totient is φ = 409324800.

The previous prime is 1023312967. The next prime is 1023313019. The reversal of 1023313000 is 3133201.

1023313000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 334670436 + 688642564 = 18294^2 + 26242^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 510657 + ... + 512656.

Almost surely, 2^1023313000 is an apocalyptic number.

1023313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023313000 is an abundant number, since it is smaller than the sum of its proper divisors (1371241760).

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

1023313000 is a wasteful number, since it uses less digits than its factorization.

1023313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023334 (or 1023320 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1023313000 is about 31989.2638239769. The cubic root of 1023313000 is about 1007.7113817382.

Adding to 1023313000 its reverse (3133201), we get a palindrome (1026446201).

The spelling of 1023313000 in words is "one billion, twenty-three million, three hundred thirteen thousand".