33013001000 has 128 divisors (see below), whose sum is σ = 89351458560. Its totient is φ = 11182176000.

The previous prime is 33013000981. The next prime is 33013001009. The reversal of 33013001000 is 10031033.

It is not an unprimeable number, because it can be changed into a prime (33013001009) 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, 552590 + ... + 609410.

It is an arithmetic number, because the mean of its divisors is an integer number (698058270).

Almost surely, 2^33013001000 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 33013001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44675729280).

33013001000 is an abundant number, since it is smaller than the sum of its proper divisors (56338457560).

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

33013001000 is a wasteful number, since it uses less digits than its factorization.

33013001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56932 (or 56918 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 33013001000 its reverse (10031033), we get a palindrome (33023032033).

The spelling of 33013001000 in words is "thirty-three billion, thirteen million, one thousand".