133212010233120 has 384 divisors, whose sum is σ = 529049131430400. Its totient is φ = 27420751134720.

The previous prime is 133212010233089. The next prime is 133212010233143. The reversal of 133212010233120 is 21332010212331.

133212010233120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

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, 35400895 + ... + 38982654.

It is an arithmetic number, because the mean of its divisors is an integer number (1377732113100).

Almost surely, 2^{133212010233120} is an apocalyptic number.

133212010233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133212010233120 is an abundant number, since it is smaller than the sum of its proper divisors (395837121197280).

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

133212010233120 is a wasteful number, since it uses less digits than its factorization.

133212010233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74383628 (or 74383620 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 133212010233120 its reverse (21332010212331), we get a palindrome (154544020445451).

The spelling of 133212010233120 in words is "one hundred thirty-three trillion, two hundred twelve billion, ten million, two hundred thirty-three thousand, one hundred twenty".