13032120311320 has 128 divisors (see below), whose sum is σ = 32671561973760. Its totient is φ = 4637693032960.

The previous prime is 13032120311291. The next prime is 13032120311333. The reversal of 13032120311320 is 2311302123031.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13032120311291 and 13032120311300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293778582 + ... + 293822938.

It is an arithmetic number, because the mean of its divisors is an integer number (255246577920).

Almost surely, 2^{13032120311320} is an apocalyptic number.

13032120311320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13032120311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16335780986880).

13032120311320 is an abundant number, since it is smaller than the sum of its proper divisors (19639441662440).

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

13032120311320 is a wasteful number, since it uses less digits than its factorization.

13032120311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58633 (or 58629 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13032120311320 its reverse (2311302123031), we get a palindrome (15343422434351).

The spelling of 13032120311320 in words is "thirteen trillion, thirty-two billion, one hundred twenty million, three hundred eleven thousand, three hundred twenty".