10133132244400 has 240 divisors, whose sum is σ = 26719457273856. Its totient is φ = 3662409600000.

The previous prime is 10133132244343. The next prime is 10133132244407. The reversal of 10133132244400 is 444223133101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10133132244407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1160588035 + ... + 1160596765.

Almost surely, 2^{10133132244400} is an apocalyptic number.

10133132244400 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 10133132244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13359728636928).

10133132244400 is an abundant number, since it is smaller than the sum of its proper divisors (16586325029456).

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

10133132244400 is a wasteful number, since it uses less digits than its factorization.

10133132244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10332 (or 10321 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 10133132244400 its reverse (444223133101), we get a palindrome (10577355377501).

The spelling of 10133132244400 in words is "ten trillion, one hundred thirty-three billion, one hundred thirty-two million, two hundred forty-four thousand, four hundred".