133011201013000 has 256 divisors, whose sum is σ = 328352910912000. Its totient is φ = 50292772992000.

The previous prime is 133011201012959. The next prime is 133011201013063. The reversal of 133011201013000 is 310102110331.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24276544261 + ... + 24276549739.

It is an arithmetic number, because the mean of its divisors is an integer number (1282628558250).

Almost surely, 2^{133011201013000} is an apocalyptic number.

133011201013000 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 133011201013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164176455456000).

133011201013000 is an abundant number, since it is smaller than the sum of its proper divisors (195341709899000).

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

133011201013000 is a wasteful number, since it uses less digits than its factorization.

133011201013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8113 (or 8099 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 133011201013000 its reverse (310102110331), we get a palindrome (133321303123331).

The spelling of 133011201013000 in words is "one hundred thirty-three trillion, eleven billion, two hundred one million, thirteen thousand".