10523133000 has 192 divisors, whose sum is σ = 36530647920. Its totient is φ = 2730240000.

The previous prime is 10523132981. The next prime is 10523133001. The reversal of 10523133000 is 33132501.

10523133000 is a `hidden beast` number, since 1 + 0 + 52 + 313 + 300 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3945598596 + 6577534404 = 62814^2 + 81102^2 .

It is a super-2 number, since 2×10523133000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10523133001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317200 + ... + 348800.

Almost surely, 2^10523133000 is an apocalyptic number.

10523133000 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 10523133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18265323960).

10523133000 is an abundant number, since it is smaller than the sum of its proper divisors (26007514920).

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

10523133000 is a wasteful number, since it uses less digits than its factorization.

10523133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31665 (or 31648 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 10523133000 its reverse (33132501), we get a palindrome (10556265501).

The spelling of 10523133000 in words is "ten billion, five hundred twenty-three million, one hundred thirty-three thousand".