133023012426300 has 576 divisors, whose sum is σ = 415972366064640. Its totient is φ = 32700401664000.

The previous prime is 133023012426263. The next prime is 133023012426341. The reversal of 133023012426300 is 3624210320331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84245098911 + ... + 84245100489.

It is an arithmetic number, because the mean of its divisors is an integer number (722174246640).

Almost surely, 2^{133023012426300} is an apocalyptic number.

133023012426300 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 133023012426300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207986183032320).

133023012426300 is an abundant number, since it is smaller than the sum of its proper divisors (282949353638340).

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

133023012426300 is a wasteful number, since it uses less digits than its factorization.

133023012426300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 133023012426300 its reverse (3624210320331), we get a palindrome (136647222746631).

The spelling of 133023012426300 in words is "one hundred thirty-three trillion, twenty-three billion, twelve million, four hundred twenty-six thousand, three hundred".