133122003100 has 72 divisors (see below), whose sum is σ = 298982426400. Its totient is φ = 51387436800.

The previous prime is 133122003089. The next prime is 133122003101. The reversal of 133122003100 is 1300221331.

It is a super-2 number, since 2×133122003100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133122003101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6569985 + ... + 6590215.

It is an arithmetic number, because the mean of its divisors is an integer number (4152533700).

Almost surely, 2^133122003100 is an apocalyptic number.

133122003100 is a gapful number since it is divisible by the number (10) 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 133122003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149491213200).

133122003100 is an abundant number, since it is smaller than the sum of its proper divisors (165860423300).

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

133122003100 is a wasteful number, since it uses less digits than its factorization.

133122003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22543 (or 22536 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 133122003100 its reverse (1300221331), we get a palindrome (134422224431).

The spelling of 133122003100 in words is "one hundred thirty-three billion, one hundred twenty-two million, three thousand, one hundred".