10133154324400 has 120 divisors (see below), whose sum is σ = 24399602781824. Its totient is φ = 4044162816000.

The previous prime is 10133154324367. The next prime is 10133154324437. The reversal of 10133154324400 is 442345133101.

10133154324400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 437271214 + ... + 437294386.

Almost surely, 2^{10133154324400} is an apocalyptic number.

10133154324400 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 10133154324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12199801390912).

10133154324400 is an abundant number, since it is smaller than the sum of its proper divisors (14266448457424).

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

10133154324400 is a wasteful number, since it uses less digits than its factorization.

10133154324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25599 (or 25588 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 10133154324400 its reverse (442345133101), we get a palindrome (10575499457501).

The spelling of 10133154324400 in words is "ten trillion, one hundred thirty-three billion, one hundred fifty-four million, three hundred twenty-four thousand, four hundred".