1020001333 has 16 divisors (see below), whose sum is σ = 1119480880. Its totient is φ = 923664384.

The previous prime is 1020001303. The next prime is 1020001337. The reversal of 1020001333 is 3331000201.

It can be written as a sum of positive squares in 8 ways, for example, as 209004849 + 810996484 = 14457^2 + 28478^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020001333 - 2¹⁷ = 1019870261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020001337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180373 + ... + 185941.

It is an arithmetic number, because the mean of its divisors is an integer number (69967555).

Almost surely, 2^1020001333 is an apocalyptic number.

1020001333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1020001333 is a deficient number, since it is larger than the sum of its proper divisors (99479547).

1020001333 is a wasteful number, since it uses less digits than its factorization.

1020001333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5848.

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

The square root of 1020001333 is about 31937.4597142603. The cubic root of 1020001333 is about 1006.6231480658.

Adding to 1020001333 its reverse (3331000201), we get a palindrome (4351001534).

The spelling of 1020001333 in words is "one billion, twenty million, one thousand, three hundred thirty-three".