13121212221100 has 72 divisors (see below), whose sum is σ = 29973679842960. Its totient is φ = 4971905637120.

The previous prime is 13121212221097. The next prime is 13121212221107. The reversal of 13121212221100 is 112221212131.

13121212221100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13121212221100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (13121212221107) 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, 28187442 + ... + 28649158.

It is an arithmetic number, because the mean of its divisors is an integer number (416301108930).

Almost surely, 2^{13121212221100} is an apocalyptic number.

13121212221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121212221100 is an abundant number, since it is smaller than the sum of its proper divisors (16852467621860).

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

13121212221100 is a wasteful number, since it uses less digits than its factorization.

13121212221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476707 (or 476700 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 13121212221100 its reverse (112221212131), we get a palindrome (13233433433231).

The spelling of 13121212221100 in words is "thirteen trillion, one hundred twenty-one billion, two hundred twelve million, two hundred twenty-one thousand, one hundred".