10130133400 has 96 divisors (see below), whose sum is σ = 25239165840. Its totient is φ = 3767644160.

The previous prime is 10130133397. The next prime is 10130133401. The reversal of 10130133400 is 433103101.

10130133400 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 not an unprimeable number, because it can be changed into a prime (10130133401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264252 + ... + 300148.

Almost surely, 2^10130133400 is an apocalyptic number.

10130133400 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 10130133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12619582920).

10130133400 is an abundant number, since it is smaller than the sum of its proper divisors (15109032440).

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

10130133400 is a wasteful number, since it uses less digits than its factorization.

10130133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36013 (or 36004 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10130133400 its reverse (433103101), we get a palindrome (10563236501).

The spelling of 10130133400 in words is "ten billion, one hundred thirty million, one hundred thirty-three thousand, four hundred".