1330133032033 has 48 divisors (see below), whose sum is σ = 1523369196720. Its totient is φ = 1159073190912.

The previous prime is 1330133032003. The next prime is 1330133032037. The reversal of 1330133032033 is 3302303310331.

It can be written as a sum of positive squares in 24 ways, for example, as 967689298944 + 362443733089 = 983712^2 + 602033^2 .

It is not a de Polignac number, because 1330133032033 - 2¹³ = 1330133023841 is a prime.

It is a super-2 number, since 2×1330133032033² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1330133031989 and 1330133032007.

It is not an unprimeable number, because it can be changed into a prime (1330133032037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76098891 + ... + 76116367.

It is an arithmetic number, because the mean of its divisors is an integer number (31736858265).

Almost surely, 2^{1330133032033} is an apocalyptic number.

1330133032033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1330133032033 is a deficient number, since it is larger than the sum of its proper divisors (193236164687).

1330133032033 is a wasteful number, since it uses less digits than its factorization.

1330133032033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17878 (or 17865 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 25.

Adding to 1330133032033 its reverse (3302303310331), we get a palindrome (4632436342364).

The spelling of 1330133032033 in words is "one trillion, three hundred thirty billion, one hundred thirty-three million, thirty-two thousand, thirty-three".