133113143312000 has 512 divisors, whose sum is σ = 342464525544960. Its totient is φ = 51422072832000.

The previous prime is 133113143311969. The next prime is 133113143312011. The reversal of 133113143312000 is 213341311331.

It is a happy number.

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, 29146733717 + ... + 29146738283.

It is an arithmetic number, because the mean of its divisors is an integer number (668876026455).

Almost surely, 2^{133113143312000} is an apocalyptic number.

133113143312000 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 133113143312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171232262772480).

133113143312000 is an abundant number, since it is smaller than the sum of its proper divisors (209351382232960).

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

133113143312000 is a wasteful number, since it uses less digits than its factorization.

133113143312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5077 (or 5055 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 133113143312000 its reverse (213341311331), we get a palindrome (133326484623331).

The spelling of 133113143312000 in words is "one hundred thirty-three trillion, one hundred thirteen billion, one hundred forty-three million, three hundred twelve thousand".