1033322133000 has 128 divisors (see below), whose sum is σ = 3264775488000. Its totient is φ = 272064499200.

The previous prime is 1033322132993. The next prime is 1033322133013. The reversal of 1033322133000 is 3312233301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1943005 + ... + 2417004.

It is an arithmetic number, because the mean of its divisors is an integer number (25506058500).

Almost surely, 2^{1033322133000} is an apocalyptic number.

1033322133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1033322133000 is an abundant number, since it is smaller than the sum of its proper divisors (2231453355000).

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

1033322133000 is a wasteful number, since it uses less digits than its factorization.

1033322133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4360112 (or 4360098 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 1033322133000 its reverse (3312233301), we get a palindrome (1036634366301).

The spelling of 1033322133000 in words is "one trillion, thirty-three billion, three hundred twenty-two million, one hundred thirty-three thousand".