13120233210 has 192 divisors, whose sum is σ = 41814040320. Its totient is φ = 2787333120.

The previous prime is 13120233209. The next prime is 13120233211. The reversal of 13120233210 is 1233202131.

13120233210 is a `hidden beast` number, since 131 + 202 + 332 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13120233209) and next prime (13120233211).

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

It is not an unprimeable number, because it can be changed into a prime (13120233211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 624070 + ... + 644750.

It is an arithmetic number, because the mean of its divisors is an integer number (217781460).

Almost surely, 2^13120233210 is an apocalyptic number.

13120233210 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 13120233210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20907020160).

13120233210 is an abundant number, since it is smaller than the sum of its proper divisors (28693807110).

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

13120233210 is a wasteful number, since it uses less digits than its factorization.

13120233210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20773 (or 20770 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13120233210 its reverse (1233202131), we get a palindrome (14353435341).

The spelling of 13120233210 in words is "thirteen billion, one hundred twenty million, two hundred thirty-three thousand, two hundred ten".