133011462313620 has 192 divisors, whose sum is σ = 451685498342400. Its totient is φ = 32227156091520.

The previous prime is 133011462313567. The next prime is 133011462313643. The reversal of 133011462313620 is 26313264110331.

133011462313620 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 1 + 1 + 4 + 6 + 23 + 1 + 3 + 620 = 666.

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 63 ways as a sum of consecutive naturals, for example, 4349391 + ... + 16880169.

It is an arithmetic number, because the mean of its divisors is an integer number (2352528637200).

Almost surely, 2^{133011462313620} is an apocalyptic number.

133011462313620 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 133011462313620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225842749171200).

133011462313620 is an abundant number, since it is smaller than the sum of its proper divisors (318674036028780).

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

133011462313620 is a wasteful number, since it uses less digits than its factorization.

133011462313620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12532595 (or 12532587 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 133011462313620 in words is "one hundred thirty-three trillion, eleven billion, four hundred sixty-two million, three hundred thirteen thousand, six hundred twenty".