101320321320 has 192 divisors, whose sum is σ = 332979753600. Its totient is φ = 26716884480.

The previous prime is 101320321261. The next prime is 101320321321. The reversal of 101320321320 is 23123023101.

101320321320 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 20 + 321 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101320321293 and 101320321302.

It is not an unprimeable number, because it can be changed into a prime (101320321321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31850130 + ... + 31853310.

It is an arithmetic number, because the mean of its divisors is an integer number (1734269550).

Almost surely, 2^101320321320 is an apocalyptic number.

101320321320 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 101320321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166489876800).

101320321320 is an abundant number, since it is smaller than the sum of its proper divisors (231659432280).

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

101320321320 is a wasteful number, since it uses less digits than its factorization.

101320321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4160 (or 4153 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101320321320 its reverse (23123023101), we get a palindrome (124443344421).

The spelling of 101320321320 in words is "one hundred one billion, three hundred twenty million, three hundred twenty-one thousand, three hundred twenty".