2413300110100 has 144 divisors (see below), whose sum is σ = 5876312016960. Its totient is φ = 852540595200.

The previous prime is 2413300110077. The next prime is 2413300110157. The reversal of 2413300110100 is 10110033142.

It is a congruent number.

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, 26776312 + ... + 26866288.

It is an arithmetic number, because the mean of its divisors is an integer number (40807722340).

Almost surely, 2^{2413300110100} is an apocalyptic number.

2413300110100 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 2413300110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938156008480).

2413300110100 is an abundant number, since it is smaller than the sum of its proper divisors (3463011906860).

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

2413300110100 is a wasteful number, since it uses less digits than its factorization.

2413300110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90698 (or 90691 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2413300110100 its reverse (10110033142), we get a palindrome (2423410143242).

The spelling of 2413300110100 in words is "two trillion, four hundred thirteen billion, three hundred million, one hundred ten thousand, one hundred".