101303120320 has 56 divisors (see below), whose sum is σ = 243570154464. Its totient is φ = 40127824896.

The previous prime is 101303120299. The next prime is 101303120449. The reversal of 101303120320 is 23021303101.

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 = 101303120294 and 101303120303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1503799 + ... + 1569718.

It is an arithmetic number, because the mean of its divisors is an integer number (4349467044).

Almost surely, 2^101303120320 is an apocalyptic number.

101303120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101303120320 is an abundant number, since it is smaller than the sum of its proper divisors (142267034144).

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

101303120320 is a wasteful number, since it uses less digits than its factorization.

101303120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073637 (or 3073627 counting only the distinct ones).

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

Adding to 101303120320 its reverse (23021303101), we get a palindrome (124324423421).

The spelling of 101303120320 in words is "one hundred one billion, three hundred three million, one hundred twenty thousand, three hundred twenty".