2300231313000 has 192 divisors, whose sum is σ = 7776467683920. Its totient is φ = 613262016000.

The previous prime is 2300231312999. The next prime is 2300231313011. The reversal of 2300231313000 is 3131320032.

2300231313000 is a `hidden beast` number, since 2 + 300 + 2 + 31 + 31 + 300 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 570148826724 + 1730082486276 = 755082^2 + 1315326^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45667830 + ... + 45718170.

Almost surely, 2^{2300231313000} is an apocalyptic number.

2300231313000 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 2300231313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888233841960).

2300231313000 is an abundant number, since it is smaller than the sum of its proper divisors (5476236370920).

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

2300231313000 is a wasteful number, since it uses less digits than its factorization.

2300231313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55445 (or 55428 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 2300231313000 its reverse (3131320032), we get a palindrome (2303362633032).

The spelling of 2300231313000 in words is "two trillion, three hundred billion, two hundred thirty-one million, three hundred thirteen thousand".