13121130321312 has 96 divisors (see below), whose sum is σ = 37093987865088. Its totient is φ = 4037100880896.

The previous prime is 13121130321289. The next prime is 13121130321319. The reversal of 13121130321312 is 21312303112131.

13121130321312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13121130321312² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13121130321319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31219638 + ... + 31637130.

It is an arithmetic number, because the mean of its divisors is an integer number (386395706928).

Almost surely, 2^{13121130321312} is an apocalyptic number.

13121130321312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13121130321312 is an abundant number, since it is smaller than the sum of its proper divisors (23972857543776).

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

13121130321312 is a wasteful number, since it uses less digits than its factorization.

13121130321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442702 (or 442694 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13121130321312 its reverse (21312303112131), we get a palindrome (34433433433443).

The spelling of 13121130321312 in words is "thirteen trillion, one hundred twenty-one billion, one hundred thirty million, three hundred twenty-one thousand, three hundred twelve".