133011320200000 has 672 divisors, whose sum is σ = 379347421461120. Its totient is φ = 45761126400000.

The previous prime is 133011320199973. The next prime is 133011320200009. The reversal of 133011320200000 is 2023110331.

It is a super-2 number, since 2×133011320200000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133011320200009) 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, 40838598372 + ... + 40838601628.

It is an arithmetic number, because the mean of its divisors is an integer number (564505091460).

Almost surely, 2^{133011320200000} is an apocalyptic number.

133011320200000 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 133011320200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189673710730560).

133011320200000 is an abundant number, since it is smaller than the sum of its proper divisors (246336101261120).

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

133011320200000 is an equidigital number, since it uses as much as digits as its factorization.

133011320200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4301 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 133011320200000 its reverse (2023110331), we get a palindrome (133013343310331).

The spelling of 133011320200000 in words is "one hundred thirty-three trillion, eleven billion, three hundred twenty million, two hundred thousand".