20313000 has 192 divisors, whose sum is σ = 71669520. Its totient is φ = 5184000.

The previous prime is 20312989. The next prime is 20313001. The reversal of 20313000 is 31302.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 224676 + 20088324 = 474^2 + 4482^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20313001) 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, 332970 + ... + 333030.

Almost surely, 2^20313000 is an apocalyptic number.

20313000 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 20313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35834760).

20313000 is an abundant number, since it is smaller than the sum of its proper divisors (51356520).

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

20313000 is a wasteful number, since it uses less digits than its factorization.

20313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 20313000 is about 4506.9945640083. The cubic root of 20313000 is about 272.8504595015.

Adding to 20313000 its reverse (31302), we get a palindrome (20344302).

It can be divided in two parts, 203 and 13000, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 20313000 in words is "twenty million, three hundred thirteen thousand".