133002414110000 has 100 divisors (see below), whose sum is σ = 322044168715632. Its totient is φ = 53195674848000.

The previous prime is 133002414109969. The next prime is 133002414110003. The reversal of 133002414110000 is 11414200331.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (133002414110003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100673717 + ... + 101986283.

Almost surely, 2^{133002414110000} is an apocalyptic number.

133002414110000 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 133002414110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161022084357816).

133002414110000 is an abundant number, since it is smaller than the sum of its proper divisors (189041754605632).

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

133002414110000 is a wasteful number, since it uses less digits than its factorization.

133002414110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322728 (or 1322707 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 133002414110000 its reverse (11414200331), we get a palindrome (133013828310331).

The spelling of 133002414110000 in words is "one hundred thirty-three trillion, two billion, four hundred fourteen million, one hundred ten thousand".