20313120 has 96 divisors (see below), whose sum is σ = 64774080. Its totient is φ = 5350400.

The previous prime is 20313119. The next prime is 20313121. The reversal of 20313120 is 2131302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20313119) and next prime (20313121).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20313096 and 20313105.

It is not an unprimeable number, because it can be changed into a prime (20313121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48271 + ... + 48689.

It is an arithmetic number, because the mean of its divisors is an integer number (674730).

Almost surely, 2^20313120 is an apocalyptic number.

20313120 is a gapful number since it is divisible by the number (20) 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 20313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32387040).

20313120 is an abundant number, since it is smaller than the sum of its proper divisors (44460960).

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

20313120 is a wasteful number, since it uses less digits than its factorization.

20313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 20313120 is about 4507.0078766295. The cubic root of 20313120 is about 272.8509967928.

Adding to 20313120 its reverse (2131302), we get a palindrome (22444422).

It can be divided in two parts, 2031 and 3120, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 20313120 in words is "twenty million, three hundred thirteen thousand, one hundred twenty".