133001013012 has 72 divisors (see below), whose sum is σ = 373451168160. Its totient is φ = 36689929920.

The previous prime is 133001013011. The next prime is 133001013031. The reversal of 133001013012 is 210310100331.

It is a junction number, because it is equal to n+sod(n) for n = 133001012982 and 133001013000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133001013011) 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 23 ways as a sum of consecutive naturals, for example, 3882814 + ... + 3916917.

It is an arithmetic number, because the mean of its divisors is an integer number (5186821780).

Almost surely, 2^133001013012 is an apocalyptic number.

133001013012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133001013012 is an abundant number, since it is smaller than the sum of its proper divisors (240450155148).

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

133001013012 is a wasteful number, since it uses less digits than its factorization.

133001013012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7799781 (or 7799772 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 133001013012 its reverse (210310100331), we get a palindrome (343311113343).

The spelling of 133001013012 in words is "one hundred thirty-three billion, one million, thirteen thousand, twelve".