1333201000 has 64 divisors (see below), whose sum is σ = 3131603280. Its totient is φ = 531244800.

The previous prime is 1333200991. The next prime is 1333201019. The reversal of 1333201000 is 1023331.

It can be written as a sum of positive squares in 8 ways, for example, as 22905796 + 1310295204 = 4786^2 + 36198^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274594 + ... + 279406.

Almost surely, 2^1333201000 is an apocalyptic number.

1333201000 is a gapful number since it is divisible by the number (10) 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 1333201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565801640).

1333201000 is an abundant number, since it is smaller than the sum of its proper divisors (1798402280).

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

1333201000 is a wasteful number, since it uses less digits than its factorization.

1333201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5111 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1333201000 is about 36513.0250732530. The cubic root of 1333201000 is about 1100.6060021735.

Adding to 1333201000 its reverse (1023331), we get a palindrome (1334224331).

The spelling of 1333201000 in words is "one billion, three hundred thirty-three million, two hundred one thousand".