10133301023300 has 432 divisors, whose sum is σ = 27937875142800. Its totient is φ = 3161841500160.

The previous prime is 10133301023297. The next prime is 10133301023359. The reversal of 10133301023300 is 332010333101.

It can be written as a sum of positive squares in 24 ways, for example, as 7020814701124 + 3112486322176 = 2649682^2 + 1764224^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1300304204 + ... + 1300311996.

It is an arithmetic number, because the mean of its divisors is an integer number (64671007275).

Almost surely, 2^{10133301023300} is an apocalyptic number.

10133301023300 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 10133301023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13968937571400).

10133301023300 is an abundant number, since it is smaller than the sum of its proper divisors (17804574119500).

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

10133301023300 is a wasteful number, since it uses less digits than its factorization.

10133301023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8120 (or 8106 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 10133301023300 its reverse (332010333101), we get a palindrome (10465311356401).

The spelling of 10133301023300 in words is "ten trillion, one hundred thirty-three billion, three hundred one million, twenty-three thousand, three hundred".