13101121322320 has 40 divisors (see below), whose sum is σ = 30469867381800. Its totient is φ = 5238769336320.

The previous prime is 13101121322309. The next prime is 13101121322323. The reversal of 13101121322320 is 2322312110131.

It can be written as a sum of positive squares in 4 ways, for example, as 133084876864 + 12968036445456 = 364808^2 + 3601116^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 13101121322291 and 13101121322300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101121322323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25986145 + ... + 26485504.

It is an arithmetic number, because the mean of its divisors is an integer number (761746684545).

Almost surely, 2^{13101121322320} is an apocalyptic number.

13101121322320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101121322320 is an abundant number, since it is smaller than the sum of its proper divisors (17368746059480).

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

13101121322320 is a wasteful number, since it uses less digits than its factorization.

13101121322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52474783 (or 52474777 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 13101121322320 its reverse (2322312110131), we get a palindrome (15423433432451).

The spelling of 13101121322320 in words is "thirteen trillion, one hundred one billion, one hundred twenty-one million, three hundred twenty-two thousand, three hundred twenty".