133000000000000 has 676 divisors, whose sum is σ = 399951171547360. Its totient is φ = 43200000000000.

The previous prime is 132999999999983. The next prime is 133000000000027. The reversal of 133000000000000 is 331.

It is a happy number.

It is a sliding number, since 133000000000000 = 8000000000000 + 125000000000000 and 1/8000000000000 + 1/125000000000000 = 0.000000000000133000000000000.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 132999999999893 and 132999999999902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 6999999999991 + ... + 7000000000009.

Almost surely, 2^{133000000000000} is an apocalyptic number.

133000000000000 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 133000000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199975585773680).

133000000000000 is an abundant number, since it is smaller than the sum of its proper divisors (266951171547360).

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

133000000000000 is an frugal number, since it uses more digits than its factorization.

133000000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 7.

Adding to 133000000000000 its reverse (331), we get a palindrome (133000000000331).

The spelling of 133000000000000 in words is "one hundred thirty-three trillion", and thus it is an aban number.