3301020133000 has 128 divisors (see below), whose sum is σ = 7743333892320. Its totient is φ = 1317173529600.

The previous prime is 3301020132983. The next prime is 3301020133007. The reversal of 3301020133000 is 3310201033.

It can be written as a sum of positive squares in 16 ways, for example, as 192487876 + 3300827645124 = 13874^2 + 1816818^2 .

It is not an unprimeable number, because it can be changed into a prime (3301020133007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1131647542 + ... + 1131650458.

Almost surely, 2^{3301020133000} 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 3301020133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3871666946160).

3301020133000 is an abundant number, since it is smaller than the sum of its proper divisors (4442313759320).

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

3301020133000 is a wasteful number, since it uses less digits than its factorization.

3301020133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5324 (or 5310 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 3301020133000 its reverse (3310201033), we get a palindrome (3304330334033).

The spelling of 3301020133000 in words is "three trillion, three hundred one billion, twenty million, one hundred thirty-three thousand".