10133313000 has 128 divisors (see below), whose sum is σ = 31720515840. Its totient is φ = 2693280000.

The previous prime is 10133312947. The next prime is 10133313019. The reversal of 10133313000 is 31333101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 927570 + ... + 938430.

It is an arithmetic number, because the mean of its divisors is an integer number (247816530).

Almost surely, 2^10133313000 is an apocalyptic number.

10133313000 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 10133313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15860257920).

10133313000 is an abundant number, since it is smaller than the sum of its proper divisors (21587202840).

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

10133313000 is a wasteful number, since it uses less digits than its factorization.

10133313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11196 (or 11182 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 10133313000 its reverse (31333101), we get a palindrome (10164646101).

The spelling of 10133313000 in words is "ten billion, one hundred thirty-three million, three hundred thirteen thousand".