10133341400 has 144 divisors (see below), whose sum is σ = 29156950800. Its totient is φ = 3206960640.

The previous prime is 10133341363. The next prime is 10133341417. The reversal of 10133341400 is 414333101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 215186 + ... + 258014.

It is an arithmetic number, because the mean of its divisors is an integer number (202478825).

Almost surely, 2^10133341400 is an apocalyptic number.

10133341400 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 10133341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14578475400).

10133341400 is an abundant number, since it is smaller than the sum of its proper divisors (19023609400).

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

10133341400 is a wasteful number, since it uses less digits than its factorization.

10133341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42878 (or 42856 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10133341400 its reverse (414333101), we get a palindrome (10547674501).

The spelling of 10133341400 in words is "ten billion, one hundred thirty-three million, three hundred forty-one thousand, four hundred".