133001000412 has 96 divisors (see below), whose sum is σ = 367282212864. Its totient is φ = 36656755200.

The previous prime is 133001000401. The next prime is 133001000423. The reversal of 133001000412 is 214000100331.

133001000412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (133001000401) and next prime (133001000423).

It is a super-2 number, since 2×133001000412² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133001000391 and 133001000400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 733462 + ... + 896642.

It is an arithmetic number, because the mean of its divisors is an integer number (3825856384).

Almost surely, 2^133001000412 is an apocalyptic number.

133001000412 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 133001000412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183641106432).

133001000412 is an abundant number, since it is smaller than the sum of its proper divisors (234281212452).

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

133001000412 is a wasteful number, since it uses less digits than its factorization.

133001000412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163539 (or 163537 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 133001000412 its reverse (214000100331), we get a palindrome (347001100743).

The spelling of 133001000412 in words is "one hundred thirty-three billion, one million, four hundred twelve", and thus it is an aban number.