13121310312 has 128 divisors (see below), whose sum is σ = 39844224000. Its totient is φ = 3967888320.

The previous prime is 13121310299. The next prime is 13121310313. The reversal of 13121310312 is 21301312131.

13121310312 is a `hidden beast` number, since 131 + 213 + 10 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13121310313) 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, 1189639 + ... + 1200617.

It is an arithmetic number, because the mean of its divisors is an integer number (311283000).

Almost surely, 2^13121310312 is an apocalyptic number.

13121310312 is a gapful number since it is divisible by the number (12) 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 13121310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19922112000).

13121310312 is an abundant number, since it is smaller than the sum of its proper divisors (26722913688).

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

13121310312 is a wasteful number, since it uses less digits than its factorization.

13121310312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11508 (or 11498 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13121310312 its reverse (21301312131), we get a palindrome (34422622443).

The spelling of 13121310312 in words is "thirteen billion, one hundred twenty-one million, three hundred ten thousand, three hundred twelve".