133001112300 has 288 divisors, whose sum is σ = 450232516608. Its totient is φ = 29681614080.

The previous prime is 133001112271. The next prime is 133001112301. The reversal of 133001112300 is 3211100331.

It is a super-2 number, since 2×133001112300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133001112300.

It is not an unprimeable number, because it can be changed into a prime (133001112301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48065517 + ... + 48068283.

Almost surely, 2^133001112300 is an apocalyptic number.

133001112300 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 133001112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225116258304).

133001112300 is an abundant number, since it is smaller than the sum of its proper divisors (317231404308).

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

133001112300 is a wasteful number, since it uses less digits than its factorization.

133001112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 133001112300 its reverse (3211100331), we get a palindrome (136212212631).

The spelling of 133001112300 in words is "one hundred thirty-three billion, one million, one hundred twelve thousand, three hundred".