13102121120 has 192 divisors, whose sum is σ = 36454199040. Its totient is φ = 4399718400.

The previous prime is 13102121111. The next prime is 13102121129. The reversal of 13102121120 is 2112120131.

It is an interprime number because it is at equal distance from previous prime (13102121111) and next prime (13102121129).

It is a junction number, because it is equal to n+sod(n) for n = 13102121095 and 13102121104.

It is not an unprimeable number, because it can be changed into a prime (13102121129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1168340 + ... + 1179500.

It is an arithmetic number, because the mean of its divisors is an integer number (189865620).

Almost surely, 2^13102121120 is an apocalyptic number.

13102121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13102121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18227099520).

13102121120 is an abundant number, since it is smaller than the sum of its proper divisors (23352077920).

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

13102121120 is a wasteful number, since it uses less digits than its factorization.

13102121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11239 (or 11231 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 13102121120 its reverse (2112120131), we get a palindrome (15214241251).

The spelling of 13102121120 in words is "thirteen billion, one hundred two million, one hundred twenty-one thousand, one hundred twenty".