13120106310 has 96 divisors (see below), whose sum is σ = 35090441568. Its totient is φ = 3399759360.

The previous prime is 13120106291. The next prime is 13120106317. The reversal of 13120106310 is 1360102131.

13120106310 is a `hidden beast` number, since 1 + 3 + 1 + 20 + 10 + 631 + 0 = 666.

It is a super-2 number, since 2×13120106310² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120106317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 441274 + ... + 470066.

It is an arithmetic number, because the mean of its divisors is an integer number (365525433).

Almost surely, 2^13120106310 is an apocalyptic number.

13120106310 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 13120106310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17545220784).

13120106310 is an abundant number, since it is smaller than the sum of its proper divisors (21970335258).

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

13120106310 is a wasteful number, since it uses less digits than its factorization.

13120106310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28950 (or 28947 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13120106310 its reverse (1360102131), we get a palindrome (14480208441).

The spelling of 13120106310 in words is "thirteen billion, one hundred twenty million, one hundred six thousand, three hundred ten".