10123413300 has 864 divisors, whose sum is σ = 45178608384. Its totient is φ = 1824768000.

The previous prime is 10123413257. The next prime is 10123413319. The reversal of 10123413300 is 331432101.

10123413300 is a `hidden beast` number, since 10 + 12 + 341 + 3 + 300 = 666.

10123413300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15314970 + ... + 15315630.

It is an arithmetic number, because the mean of its divisors is an integer number (52290056).

Almost surely, 2^10123413300 is an apocalyptic number.

10123413300 is a gapful number since it is divisible by the number (10) 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 10123413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22589304192).

10123413300 is an abundant number, since it is smaller than the sum of its proper divisors (35055195084).

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

10123413300 is a wasteful number, since it uses less digits than its factorization.

10123413300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10123413300 its reverse (331432101), we get a palindrome (10454845401).

The spelling of 10123413300 in words is "ten billion, one hundred twenty-three million, four hundred thirteen thousand, three hundred".