133013302212000 has 384 divisors, whose sum is σ = 508165121318400. Its totient is φ = 30403039564800.

The previous prime is 133013302211989. The next prime is 133013302212001. The reversal of 133013302212000 is 212203310331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (133013302212001) 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 63 ways as a sum of consecutive naturals, for example, 12042079 + ... + 20274078.

It is an arithmetic number, because the mean of its divisors is an integer number (1323346670100).

Almost surely, 2^{133013302212000} is an apocalyptic number.

133013302212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133013302212000 is an abundant number, since it is smaller than the sum of its proper divisors (375151819106400).

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

133013302212000 is an equidigital number, since it uses as much as digits as its factorization.

133013302212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32316206 (or 32316174 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 133013302212000 its reverse (212203310331), we get a palindrome (133225505522331).

The spelling of 133013302212000 in words is "one hundred thirty-three trillion, thirteen billion, three hundred two million, two hundred twelve thousand".