133479021312 has 1728 divisors, whose sum is σ = 554976414720. Its totient is φ = 30958682112.

The previous prime is 133479021223. The next prime is 133479021409. The reversal of 133479021312 is 213120974331.

133479021312 is a `hidden beast` number, since 1 + 3 + 347 + 90 + 213 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1828479708 + ... + 1828479780.

Almost surely, 2^133479021312 is an apocalyptic number.

133479021312 is a gapful number since it is divisible by the number (12) 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 133479021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277488207360).

133479021312 is an abundant number, since it is smaller than the sum of its proper divisors (421497393408).

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

133479021312 is a wasteful number, since it uses less digits than its factorization.

133479021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 133479021312 its reverse (213120974331), we get a palindrome (346599995643).

The spelling of 133479021312 in words is "one hundred thirty-three billion, four hundred seventy-nine million, twenty-one thousand, three hundred twelve".