2413330032300 has 216 divisors, whose sum is σ = 7677281362128. Its totient is φ = 584879961600.

The previous prime is 2413330032263. The next prime is 2413330032301. The reversal of 2413330032300 is 32300333142.

It is a happy number.

It is a super-2 number, since 2×2413330032300² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2413330032301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163088502 + ... + 163103298.

Almost surely, 2^{2413330032300} is an apocalyptic number.

2413330032300 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 2413330032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838640681064).

2413330032300 is an abundant number, since it is smaller than the sum of its proper divisors (5263951329828).

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

2413330032300 is a wasteful number, since it uses less digits than its factorization.

2413330032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19329 (or 19311 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 2413330032300 its reverse (32300333142), we get a palindrome (2445630365442).

The spelling of 2413330032300 in words is "two trillion, four hundred thirteen billion, three hundred thirty million, thirty-two thousand, three hundred".