1020133000 has 96 divisors (see below), whose sum is σ = 2474301960. Its totient is φ = 393657600.

The previous prime is 1020132977. The next prime is 1020133001. The reversal of 1020133000 is 3310201.

It can be written as a sum of positive squares in 12 ways, for example, as 217090756 + 803042244 = 14734^2 + 28338^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1020133001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 840394 + ... + 841606.

Almost surely, 2^1020133000 is an apocalyptic number.

1020133000 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 1020133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237150980).

1020133000 is an abundant number, since it is smaller than the sum of its proper divisors (1454168960).

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

1020133000 is a wasteful number, since it uses less digits than its factorization.

1020133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1020133000 is about 31939.5209732394. The cubic root of 1020133000 is about 1006.6664595607. Note that the first 3 decimals are identical.

Adding to 1020133000 its reverse (3310201), we get a palindrome (1023443201).

The spelling of 1020133000 in words is "one billion, twenty million, one hundred thirty-three thousand".