33133100000 has 576 divisors, whose sum is σ = 109801972224. Its totient is φ = 9504000000.

The previous prime is 33133099999. The next prime is 33133100023. The reversal of 33133100000 is 133133.

It is a super-2 number, since 2×33133100000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100099835 + ... + 100100165.

It is an arithmetic number, because the mean of its divisors is an integer number (190628424).

Almost surely, 2^33133100000 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 33133100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54900986112).

33133100000 is an abundant number, since it is smaller than the sum of its proper divisors (76668872224).

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

33133100000 is a wasteful number, since it uses less digits than its factorization.

33133100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

Adding to 33133100000 its reverse (133133), we get a palindrome (33133233133).

The spelling of 33133100000 in words is "thirty-three billion, one hundred thirty-three million, one hundred thousand".