133233013101000 has 64 divisors (see below), whose sum is σ = 415687000884480. Its totient is φ = 35528803492800.

The previous prime is 133233013100987. The next prime is 133233013101043. The reversal of 133233013101000 is 101310332331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22205499184 + ... + 22205505183.

It is an arithmetic number, because the mean of its divisors is an integer number (6495109388820).

Almost surely, 2^{133233013101000} is an apocalyptic number.

133233013101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133233013101000 is an abundant number, since it is smaller than the sum of its proper divisors (282453987783480).

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

133233013101000 is a wasteful number, since it uses less digits than its factorization.

133233013101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44411004391 (or 44411004377 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 133233013101000 its reverse (101310332331), we get a palindrome (133334323433331).

The spelling of 133233013101000 in words is "one hundred thirty-three trillion, two hundred thirty-three billion, thirteen million, one hundred one thousand".