13133221233100 has 72 divisors (see below), whose sum is σ = 29201177473776. Its totient is φ = 5123932800000.

The previous prime is 13133221233091. The next prime is 13133221233131. The reversal of 13133221233100 is 133212233131.

It is a super-2 number, since 2×13133221233100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 16842855 + ... + 17605345.

It is an arithmetic number, because the mean of its divisors is an integer number (405571909358).

Almost surely, 2^{13133221233100} is an apocalyptic number.

13133221233100 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 13133221233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14600588736888).

13133221233100 is an abundant number, since it is smaller than the sum of its proper divisors (16067956240676).

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

13133221233100 is a wasteful number, since it uses less digits than its factorization.

13133221233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766747 (or 766740 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 13133221233100 its reverse (133212233131), we get a palindrome (13266433466231).

The spelling of 13133221233100 in words is "thirteen trillion, one hundred thirty-three billion, two hundred twenty-one million, two hundred thirty-three thousand, one hundred".