1001133400 has 96 divisors (see below), whose sum is σ = 2475779040. Its totient is φ = 375183360.

The previous prime is 1001133359. The next prime is 1001133479. The reversal of 1001133400 is 43311001.

1001133400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 941269 + ... + 942331.

It is an arithmetic number, because the mean of its divisors is an integer number (25789365).

Almost surely, 2^1001133400 is an apocalyptic number.

1001133400 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 1001133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237889520).

1001133400 is an abundant number, since it is smaller than the sum of its proper divisors (1474645640).

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

1001133400 is a wasteful number, since it uses less digits than its factorization.

1001133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1001133400 is about 31640.6921542497. The cubic root of 1001133400 is about 1000.3776573570.

Adding to 1001133400 its reverse (43311001), we get a palindrome (1044444401).

The spelling of 1001133400 in words is "one billion, one million, one hundred thirty-three thousand, four hundred".