101331113320320 has 256 divisors, whose sum is σ = 347860465505280. Its totient is φ = 24941470556160.

The previous prime is 101331113320301. The next prime is 101331113320331. The reversal of 101331113320320 is 23023311133101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423876025 + ... + 424115015.

It is an arithmetic number, because the mean of its divisors is an integer number (1358829943380).

Almost surely, 2^{101331113320320} is an apocalyptic number.

101331113320320 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 101331113320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173930232752640).

101331113320320 is an abundant number, since it is smaller than the sum of its proper divisors (246529352184960).

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

101331113320320 is a wasteful number, since it uses less digits than its factorization.

101331113320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256013 (or 256001 counting only the distinct ones).

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

Adding to 101331113320320 its reverse (23023311133101), we get a palindrome (124354424453421).

The spelling of 101331113320320 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred thirteen million, three hundred twenty thousand, three hundred twenty".