13123503325110 has 128 divisors (see below), whose sum is σ = 33612848640000. Its totient is φ = 3267791493120.

The previous prime is 13123503325069. The next prime is 13123503325117. The reversal of 13123503325110 is 1152330532131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123503325117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35234755 + ... + 35605265.

It is an arithmetic number, because the mean of its divisors is an integer number (262600380000).

Almost surely, 2^{13123503325110} is an apocalyptic number.

13123503325110 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 13123503325110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16806424320000).

13123503325110 is an abundant number, since it is smaller than the sum of its proper divisors (20489345314890).

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

13123503325110 is a wasteful number, since it uses less digits than its factorization.

13123503325110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371086.

The product of its (nonzero) digits is 8100, while the sum is 30.

Adding to 13123503325110 its reverse (1152330532131), we get a palindrome (14275833857241).

The spelling of 13123503325110 in words is "thirteen trillion, one hundred twenty-three billion, five hundred three million, three hundred twenty-five thousand, one hundred ten".