2300313013200 has 180 divisors, whose sum is σ = 7996712531808. Its totient is φ = 612341971200.

The previous prime is 2300313013169. The next prime is 2300313013231. The reversal of 2300313013200 is 23103130032.

2300313013200 is a `hidden beast` number, since 2 + 30 + 0 + 313 + 0 + 1 + 320 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2300313013169) and next prime (2300313013231).

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1496077 + ... + 2615123.

Almost surely, 2^{2300313013200} is an apocalyptic number.

2300313013200 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 2300313013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998356265904).

2300313013200 is an abundant number, since it is smaller than the sum of its proper divisors (5696399518608).

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

2300313013200 is a wasteful number, since it uses less digits than its factorization.

2300313013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119642 (or 1119628 counting only the distinct ones).

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

Adding to 2300313013200 its reverse (23103130032), we get a palindrome (2323416143232).

The spelling of 2300313013200 in words is "two trillion, three hundred billion, three hundred thirteen million, thirteen thousand, two hundred".