13131113021312 has 256 divisors, whose sum is σ = 32383832140800. Its totient is φ = 5214208204800.

The previous prime is 13131113021311. The next prime is 13131113021329. The reversal of 13131113021312 is 21312031113131.

It is a super-2 number, since 2×13131113021312² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131113021311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346713737 + ... + 346751607.

It is an arithmetic number, because the mean of its divisors is an integer number (126499344300).

Almost surely, 2^{13131113021312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13131113021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16191916070400).

13131113021312 is an abundant number, since it is smaller than the sum of its proper divisors (19252719119488).

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

13131113021312 is a wasteful number, since it uses less digits than its factorization.

13131113021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38925 (or 38913 counting only the distinct ones).

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

Adding to 13131113021312 its reverse (21312031113131), we get a palindrome (34443144134443).

The spelling of 13131113021312 in words is "thirteen trillion, one hundred thirty-one billion, one hundred thirteen million, twenty-one thousand, three hundred twelve".