33100213000 has 64 divisors (see below), whose sum is σ = 77787468720. Its totient is φ = 13183168000.

The previous prime is 33100212991. The next prime is 33100213009. The reversal of 33100213000 is 31200133.

It is an interprime number because it is at equal distance from previous prime (33100212991) and next prime (33100213009).

It can be written as a sum of positive squares in 8 ways, for example, as 856264644 + 32243948356 = 29262^2 + 179566^2 .

It is not an unprimeable number, because it can be changed into a prime (33100213009) 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, 161970 + ... + 304030.

Almost surely, 2^33100213000 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 33100213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38893734360).

33100213000 is an abundant number, since it is smaller than the sum of its proper divisors (44687255720).

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

33100213000 is a wasteful number, since it uses less digits than its factorization.

33100213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142315 (or 142301 counting only the distinct ones).

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

Adding to 33100213000 its reverse (31200133), we get a palindrome (33131413133).

The spelling of 33100213000 in words is "thirty-three billion, one hundred million, two hundred thirteen thousand".