1333001333312 has 224 divisors, whose sum is σ = 3132878363136. Its totient is φ = 555902566400.

The previous prime is 1333001333297. The next prime is 1333001333327. The reversal of 1333001333312 is 2133331003331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1333001333297) and next prime (1333001333327).

It is a super-3 number, since 3×1333001333312³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 144556862 + ... + 144566082.

Almost surely, 2^{1333001333312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1333001333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566439181568).

1333001333312 is an abundant number, since it is smaller than the sum of its proper divisors (1799877029824).

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

1333001333312 is a wasteful number, since it uses less digits than its factorization.

1333001333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9565 (or 9555 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 1333001333312 its reverse (2133331003331), we get a palindrome (3466332336643).

The spelling of 1333001333312 in words is "one trillion, three hundred thirty-three billion, one million, three hundred thirty-three thousand, three hundred twelve".