13131132113120 has 768 divisors, whose sum is σ = 38416311521280. Its totient is φ = 4142289715200.

The previous prime is 13131132113107. The next prime is 13131132113147. The reversal of 13131132113120 is 2131123113131.

It is a super-2 number, since 2×13131132113120² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46730007380 + ... + 46730007660.

It is an arithmetic number, because the mean of its divisors is an integer number (50021238960).

Almost surely, 2^{13131132113120} is an apocalyptic number.

13131132113120 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 13131132113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19208155760640).

13131132113120 is an abundant number, since it is smaller than the sum of its proper divisors (25285179408160).

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

13131132113120 is a wasteful number, since it uses less digits than its factorization.

13131132113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 13131132113120 its reverse (2131123113131), we get a palindrome (15262255226251).

The spelling of 13131132113120 in words is "thirteen trillion, one hundred thirty-one billion, one hundred thirty-two million, one hundred thirteen thousand, one hundred twenty".