10133010000 has 150 divisors (see below), whose sum is σ = 35436914370. Its totient is φ = 2702112000.

The previous prime is 10133009993. The next prime is 10133010001. The reversal of 10133010000 is 1033101.

It can be written as a sum of positive squares in 5 ways, for example, as 3399822864 + 6733187136 = 58308^2 + 82056^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 33706 + ... + 146294.

Almost surely, 2^10133010000 is an apocalyptic number.

10133010000 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 10133010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17718457185).

10133010000 is an abundant number, since it is smaller than the sum of its proper divisors (25303904370).

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

10133010000 is a wasteful number, since it uses less digits than its factorization.

10133010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112623 (or 112599 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 10133010000 its reverse (1033101), we get a palindrome (10134043101).

The spelling of 10133010000 in words is "ten billion, one hundred thirty-three million, ten thousand".