133002102012 has 96 divisors (see below), whose sum is σ = 339334894080. Its totient is φ = 40299444480.

The previous prime is 133002101971. The next prime is 133002102041. The reversal of 133002102012 is 210201200331.

It is a super-2 number, since 2×133002102012² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133002101982 and 133002102000.

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, 4010314 + ... + 4043342.

It is an arithmetic number, because the mean of its divisors is an integer number (3534738480).

Almost surely, 2^133002102012 is an apocalyptic number.

133002102012 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 133002102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169667447040).

133002102012 is an abundant number, since it is smaller than the sum of its proper divisors (206332792068).

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

133002102012 is a wasteful number, since it uses less digits than its factorization.

133002102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33443 (or 33441 counting only the distinct ones).

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

Adding to 133002102012 its reverse (210201200331), we get a palindrome (343203302343).

The spelling of 133002102012 in words is "one hundred thirty-three billion, two million, one hundred two thousand, twelve".