101313124400 has 120 divisors (see below), whose sum is σ = 250087795440. Its totient is φ = 39426785280.

The previous prime is 101313124391. The next prime is 101313124441. The reversal of 101313124400 is 4421313101.

101313124400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 23 ways as a sum of consecutive naturals, for example, 2267072 + ... + 2311328.

It is an arithmetic number, because the mean of its divisors is an integer number (2084064962).

Almost surely, 2^101313124400 is an apocalyptic number.

101313124400 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 101313124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125043897720).

101313124400 is an abundant number, since it is smaller than the sum of its proper divisors (148774671040).

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

101313124400 is a wasteful number, since it uses less digits than its factorization.

101313124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44431 (or 44420 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101313124400 its reverse (4421313101), we get a palindrome (105734437501).

The spelling of 101313124400 in words is "one hundred one billion, three hundred thirteen million, one hundred twenty-four thousand, four hundred".