133233312100 has 144 divisors (see below), whose sum is σ = 348343204608. Its totient is φ = 43242946560.

The previous prime is 133233312073. The next prime is 133233312103. The reversal of 133233312100 is 1213332331.

It is a super-2 number, since 2×133233312100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133233312103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1519044 + ... + 1604356.

It is an arithmetic number, because the mean of its divisors is an integer number (2419050032).

Almost surely, 2^133233312100 is an apocalyptic number.

133233312100 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 133233312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174171602304).

133233312100 is an abundant number, since it is smaller than the sum of its proper divisors (215109892508).

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

133233312100 is a wasteful number, since it uses less digits than its factorization.

133233312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85454 (or 85447 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 133233312100 its reverse (1213332331), we get a palindrome (134446644431).

The spelling of 133233312100 in words is "one hundred thirty-three billion, two hundred thirty-three million, three hundred twelve thousand, one hundred".