13121010222210 has 288 divisors, whose sum is σ = 38227775040000. Its totient is φ = 3119478785280.

The previous prime is 13121010222209. The next prime is 13121010222233. The reversal of 13121010222210 is 1222201012131.

13121010222210 is a `hidden beast` number, since 13 + 1 + 210 + 10 + 222 + 210 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 128135011 + ... + 128237369.

It is an arithmetic number, because the mean of its divisors is an integer number (132735330000).

Almost surely, 2^{13121010222210} is an apocalyptic number.

13121010222210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13121010222210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19113887520000).

13121010222210 is an abundant number, since it is smaller than the sum of its proper divisors (25106764817790).

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

13121010222210 is a wasteful number, since it uses less digits than its factorization.

13121010222210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102622 (or 102608 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13121010222210 its reverse (1222201012131), we get a palindrome (14343211234341).

The spelling of 13121010222210 in words is "thirteen trillion, one hundred twenty-one billion, ten million, two hundred twenty-two thousand, two hundred ten".