13013003112330 has 128 divisors (see below), whose sum is σ = 34276803644160. Its totient is φ = 3141974384640.

The previous prime is 13013003112269. The next prime is 13013003112341. The reversal of 13013003112330 is 3321130031031.

It is a junction number, because it is equal to n+sod(n) for n = 13013003112297 and 13013003112306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84484026 + ... + 84637914.

It is an arithmetic number, because the mean of its divisors is an integer number (267787528470).

Almost surely, 2^{13013003112330} is an apocalyptic number.

13013003112330 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 13013003112330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17138401822080).

13013003112330 is an abundant number, since it is smaller than the sum of its proper divisors (21263800531830).

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

13013003112330 is a wasteful number, since it uses less digits than its factorization.

13013003112330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158056.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 13013003112330 its reverse (3321130031031), we get a palindrome (16334133143361).

The spelling of 13013003112330 in words is "thirteen trillion, thirteen billion, three million, one hundred twelve thousand, three hundred thirty".