1013233000 has 128 divisors (see below), whose sum is σ = 2616999840. Its totient is φ = 364800000.

The previous prime is 1013232991. The next prime is 1013233009. The reversal of 1013233000 is 3323101.

1013233000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1013232991) and next prime (1013233009).

It can be written as a sum of positive squares in 16 ways, for example, as 657307044 + 355925956 = 25638^2 + 18866^2 .

It is a super-2 number, since 2×1013233000² = 2053282224578000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1013233009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532050 + ... + 533950.

Almost surely, 2^1013233000 is an apocalyptic number.

1013233000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308499920).

1013233000 is an abundant number, since it is smaller than the sum of its proper divisors (1603766840).

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

1013233000 is a wasteful number, since it uses less digits than its factorization.

1013233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1962 counting only the distinct ones).

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

The square root of 1013233000 is about 31831.3210533273. The cubic root of 1013233000 is about 1004.3916848700.

Adding to 1013233000 its reverse (3323101), we get a palindrome (1016556101).

The spelling of 1013233000 in words is "one billion, thirteen million, two hundred thirty-three thousand".