101331200320 has 224 divisors, whose sum is σ = 286719264000. Its totient is φ = 34084657152.

The previous prime is 101331200317. The next prime is 101331200339. The reversal of 101331200320 is 23002133101.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101331200294 and 101331200303.

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, 5808571 + ... + 5825989.

Almost surely, 2^101331200320 is an apocalyptic number.

101331200320 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 101331200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143359632000).

101331200320 is an abundant number, since it is smaller than the sum of its proper divisors (185388063680).

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

101331200320 is an equidigital number, since it uses as much as digits as its factorization.

101331200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17510 (or 17486 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 101331200320 its reverse (23002133101), we get a palindrome (124333333421).

The spelling of 101331200320 in words is "one hundred one billion, three hundred thirty-one million, two hundred thousand, three hundred twenty".