10133523400 has 384 divisors, whose sum is σ = 32310432000. Its totient is φ = 2912716800.

The previous prime is 10133523391. The next prime is 10133523437. The reversal of 10133523400 is 432533101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9809284 + ... + 9810316.

It is an arithmetic number, because the mean of its divisors is an integer number (84141750).

Almost surely, 2^10133523400 is an apocalyptic number.

10133523400 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 10133523400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16155216000).

10133523400 is an abundant number, since it is smaller than the sum of its proper divisors (22176908600).

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

10133523400 is a wasteful number, since it uses less digits than its factorization.

10133523400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The spelling of 10133523400 in words is "ten billion, one hundred thirty-three million, five hundred twenty-three thousand, four hundred".