101313331120320 has 1792 divisors, whose sum is σ = 408642697267200. Its totient is φ = 20932853760000.

The previous prime is 101313331120297. The next prime is 101313331120399. The reversal of 101313331120320 is 23021133313101.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 255 ways as a sum of consecutive naturals, for example, 9990462450 + ... + 9990472590.

Almost surely, 2^{101313331120320} is an apocalyptic number.

101313331120320 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 101313331120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204321348633600).

101313331120320 is an abundant number, since it is smaller than the sum of its proper divisors (307329366146880).

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

101313331120320 is a wasteful number, since it uses less digits than its factorization.

101313331120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10338 (or 10328 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 101313331120320 its reverse (23021133313101), we get a palindrome (124334464433421).

The spelling of 101313331120320 in words is "one hundred one trillion, three hundred thirteen billion, three hundred thirty-one million, one hundred twenty thousand, three hundred twenty".