1333011072 has 128 divisors (see below), whose sum is σ = 3813739200. Its totient is φ = 410992640.

The previous prime is 1333011041. The next prime is 1333011073. The reversal of 1333011072 is 2701103331.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1333011073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383422 + ... + 386882.

Almost surely, 2^1333011072 is an apocalyptic number.

1333011072 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 1333011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906869600).

1333011072 is an abundant number, since it is smaller than the sum of its proper divisors (2480728128).

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

1333011072 is a wasteful number, since it uses less digits than its factorization.

1333011072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3542 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 1333011072 is about 36510.4241553012. The cubic root of 1333011072 is about 1100.5537355301.

The spelling of 1333011072 in words is "one billion, three hundred thirty-three million, eleven thousand, seventy-two".