2413123320300 has 432 divisors, whose sum is σ = 8871491688192. Its totient is φ = 500791334400.

The previous prime is 2413123320259. The next prime is 2413123320323. The reversal of 2413123320300 is 30233213142.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 133070034 + ... + 133088166.

Almost surely, 2^{2413123320300} is an apocalyptic number.

2413123320300 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 2413123320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435745844096).

2413123320300 is an abundant number, since it is smaller than the sum of its proper divisors (6458368367892).

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

2413123320300 is a wasteful number, since it uses less digits than its factorization.

2413123320300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18998 (or 18984 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2413123320300 its reverse (30233213142), we get a palindrome (2443356533442).

The spelling of 2413123320300 in words is "two trillion, four hundred thirteen billion, one hundred twenty-three million, three hundred twenty thousand, three hundred".