13121313130110 has 128 divisors (see below), whose sum is σ = 33389715853440. Its totient is φ = 3288638029824.

The previous prime is 13121313130033. The next prime is 13121313130111. The reversal of 13121313130110 is 1103131312131.

It is a super-2 number, since 2×13121313130110² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121313130111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1598401686 + ... + 1598409894.

It is an arithmetic number, because the mean of its divisors is an integer number (260857155105).

Almost surely, 2^{13121313130110} is an apocalyptic number.

13121313130110 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 13121313130110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16694857926720).

13121313130110 is an abundant number, since it is smaller than the sum of its proper divisors (20268402723330).

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

13121313130110 is a wasteful number, since it uses less digits than its factorization.

13121313130110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12190.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 13121313130110 its reverse (1103131312131), we get a palindrome (14224444442241).

The spelling of 13121313130110 in words is "thirteen trillion, one hundred twenty-one billion, three hundred thirteen million, one hundred thirty thousand, one hundred ten".