320101020 has 144 divisors (see below), whose sum is σ = 1002089088. Its totient is φ = 82667520.

The previous prime is 320101013. The next prime is 320101027. The reversal of 320101020 is 20101023.

It is a happy number.

320101020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (320101013) and next prime (320101027).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 320100993 and 320101011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320101027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1328100 + ... + 1328340.

It is an arithmetic number, because the mean of its divisors is an integer number (6958952).

Almost surely, 2^320101020 is an apocalyptic number.

320101020 is a gapful number since it is divisible by the number (30) 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 320101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501044544).

320101020 is an abundant number, since it is smaller than the sum of its proper divisors (681988068).

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

320101020 is a wasteful number, since it uses less digits than its factorization.

320101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 320101020 is about 17891.3671920287. The cubic root of 320101020 is about 684.0623468356.

Adding to 320101020 its reverse (20101023), we get a palindrome (340202043).

The spelling of 320101020 in words is "three hundred twenty million, one hundred one thousand, twenty".