13032120312030 has 128 divisors (see below), whose sum is σ = 32871717789696. Its totient is φ = 3300249744000.

The previous prime is 13032120312019. The next prime is 13032120312061. The reversal of 13032120312030 is 3021302123031.

It is a junction number, because it is equal to n+sod(n) for n = 13032120311988 and 13032120312006.

It is a congruent number.

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, 188653557 + ... + 188722623.

It is an arithmetic number, because the mean of its divisors is an integer number (256810295232).

Almost surely, 2^{13032120312030} is an apocalyptic number.

13032120312030 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 13032120312030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16435858894848).

13032120312030 is an abundant number, since it is smaller than the sum of its proper divisors (19839597477666).

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

13032120312030 is a wasteful number, since it uses less digits than its factorization.

13032120312030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71062.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13032120312030 its reverse (3021302123031), we get a palindrome (16053422435061).

The spelling of 13032120312030 in words is "thirteen trillion, thirty-two billion, one hundred twenty million, three hundred twelve thousand, thirty".