13102233020100 has 216 divisors, whose sum is σ = 47245942260608. Its totient is φ = 2974962816000.

The previous prime is 13102233020081. The next prime is 13102233020117. The reversal of 13102233020100 is 102033220131.

13102233020100 is a `hidden beast` number, since 1 + 310 + 2 + 2 + 330 + 20 + 1 + 0 + 0 = 666.

It is a super-3 number, since 3×13102233020100³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5935189 + ... + 7837788.

Almost surely, 2^{13102233020100} is an apocalyptic number.

13102233020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13102233020100 is an abundant number, since it is smaller than the sum of its proper divisors (34143709240508).

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

13102233020100 is a wasteful number, since it uses less digits than its factorization.

13102233020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13773155 (or 13773145 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13102233020100 its reverse (102033220131), we get a palindrome (13204266240231).

The spelling of 13102233020100 in words is "thirteen trillion, one hundred two billion, two hundred thirty-three million, twenty thousand, one hundred".