133213111024 has 80 divisors (see below), whose sum is σ = 303161598400. Its totient is φ = 55508447232.

The previous prime is 133213110991. The next prime is 133213111043. The reversal of 133213111024 is 420111312331.

It is a junction number, because it is equal to n+sod(n) for n = 133213110986 and 133213111004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6159622 + ... + 6181210.

It is an arithmetic number, because the mean of its divisors is an integer number (3789519980).

Almost surely, 2^133213111024 is an apocalyptic number.

133213111024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133213111024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151580799200).

133213111024 is an abundant number, since it is smaller than the sum of its proper divisors (169948487376).

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

133213111024 is a wasteful number, since it uses less digits than its factorization.

133213111024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23130 (or 23124 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 133213111024 its reverse (420111312331), we get a palindrome (553324423355).

The spelling of 133213111024 in words is "one hundred thirty-three billion, two hundred thirteen million, one hundred eleven thousand, twenty-four".