20231312000 has 128 divisors (see below), whose sum is σ = 50597773200. Its totient is φ = 8044646400.

The previous prime is 20231311993. The next prime is 20231312011. The reversal of 20231312000 is 21313202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2935905856 + 17295406144 = 54184^2 + 131512^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2764346 + ... + 2771654.

Almost surely, 2^20231312000 is an apocalyptic number.

20231312000 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 20231312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25298886600).

20231312000 is an abundant number, since it is smaller than the sum of its proper divisors (30366461200).

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

20231312000 is an equidigital number, since it uses as much as digits as its factorization.

20231312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7511 (or 7489 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20231312000 its reverse (21313202), we get a palindrome (20252625202).

The spelling of 20231312000 in words is "twenty billion, two hundred thirty-one million, three hundred twelve thousand".