133014410520000 has 560 divisors, whose sum is σ = 459860005693440. Its totient is φ = 33857145344000.

The previous prime is 133014410519971. The next prime is 133014410520007. The reversal of 133014410520000 is 25014410331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133014410520007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1321989694 + ... + 1322090306.

Almost surely, 2^{133014410520000} is an apocalyptic number.

133014410520000 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 133014410520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229930002846720).

133014410520000 is an abundant number, since it is smaller than the sum of its proper divisors (326845595173440).

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

133014410520000 is a wasteful number, since it uses less digits than its factorization.

133014410520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101150 (or 101125 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 133014410520000 its reverse (25014410331), we get a palindrome (133039424930331).

The spelling of 133014410520000 in words is "one hundred thirty-three trillion, fourteen billion, four hundred ten million, five hundred twenty thousand".