13131243441120 has 384 divisors, whose sum is σ = 48724213450752. Its totient is φ = 2910639513600.

The previous prime is 13131243441109. The next prime is 13131243441137. The reversal of 13131243441120 is 2114434213131.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 14100982 + ... + 15003338.

It is an arithmetic number, because the mean of its divisors is an integer number (126885972528).

Almost surely, 2^{13131243441120} is an apocalyptic number.

13131243441120 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 13131243441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24362106725376).

13131243441120 is an abundant number, since it is smaller than the sum of its proper divisors (35592970009632).

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

13131243441120 is a wasteful number, since it uses less digits than its factorization.

13131243441120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902514 (or 902506 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 13131243441120 its reverse (2114434213131), we get a palindrome (15245677654251).

The spelling of 13131243441120 in words is "thirteen trillion, one hundred thirty-one billion, two hundred forty-three million, four hundred forty-one thousand, one hundred twenty".