13010123310 has 64 divisors (see below), whose sum is σ = 31926956544. Its totient is φ = 3391977600.

The previous prime is 13010123299. The next prime is 13010123317. The reversal of 13010123310 is 1332101031.

It is a super-2 number, since 2×13010123310² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13010123310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010123317) 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 31 ways as a sum of consecutive naturals, for example, 284325 + ... + 326895.

It is an arithmetic number, because the mean of its divisors is an integer number (498858696).

Almost surely, 2^13010123310 is an apocalyptic number.

13010123310 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 13010123310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15963478272).

13010123310 is an abundant number, since it is smaller than the sum of its proper divisors (18916833234).

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

13010123310 is a wasteful number, since it uses less digits than its factorization.

13010123310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42809.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13010123310 its reverse (1332101031), we get a palindrome (14342224341).

The spelling of 13010123310 in words is "thirteen billion, ten million, one hundred twenty-three thousand, three hundred ten".