103221312321312 has 480 divisors, whose sum is σ = 315295940703744. Its totient is φ = 33106052505600.

The previous prime is 103221312321307. The next prime is 103221312321313. The reversal of 103221312321312 is 213123213122301.

103221312321312 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 2 + 1 + 312 + 32 + 1 + 312 = 666.

103221312321312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (103221312321313) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2765751612 + ... + 2765788932.

Almost surely, 2^{103221312321312} is an apocalyptic number.

103221312321312 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 103221312321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157647970351872).

103221312321312 is an abundant number, since it is smaller than the sum of its proper divisors (212074628382432).

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

103221312321312 is a wasteful number, since it uses less digits than its factorization.

103221312321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37774 (or 37757 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 103221312321312 its reverse (213123213122301), we get a palindrome (316344525443613).

The spelling of 103221312321312 in words is "one hundred three trillion, two hundred twenty-one billion, three hundred twelve million, three hundred twenty-one thousand, three hundred twelve".