13131033220320 has 192 divisors, whose sum is σ = 43200881418240. Its totient is φ = 3346280644608.

The previous prime is 13131033220303. The next prime is 13131033220423. The reversal of 13131033220320 is 2302233013131.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 11453376 + ... + 12547584.

It is an arithmetic number, because the mean of its divisors is an integer number (225004590720).

Almost surely, 2^{13131033220320} is an apocalyptic number.

13131033220320 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 13131033220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21600440709120).

13131033220320 is an abundant number, since it is smaller than the sum of its proper divisors (30069848197920).

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

13131033220320 is a wasteful number, since it uses less digits than its factorization.

13131033220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095337 (or 1095329 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13131033220320 its reverse (2302233013131), we get a palindrome (15433266233451).

The spelling of 13131033220320 in words is "thirteen trillion, one hundred thirty-one billion, thirty-three million, two hundred twenty thousand, three hundred twenty".