13133221322100 has 144 divisors (see below), whose sum is σ = 43255536468480. Its totient is φ = 3045384636800.

The previous prime is 13133221322083. The next prime is 13133221322113. The reversal of 13133221322100 is 122312233131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86440710 + ... + 86592509.

It is an arithmetic number, because the mean of its divisors is an integer number (300385669920).

Almost surely, 2^{13133221322100} is an apocalyptic number.

13133221322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13133221322100 is an abundant number, since it is smaller than the sum of its proper divisors (30122315146380).

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

13133221322100 is a wasteful number, since it uses less digits than its factorization.

13133221322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173033270 (or 173033263 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13133221322100 its reverse (122312233131), we get a palindrome (13255533555231).

The spelling of 13133221322100 in words is "thirteen trillion, one hundred thirty-three billion, two hundred twenty-one million, three hundred twenty-two thousand, one hundred".