13303121132312 has 128 divisors (see below), whose sum is σ = 28649038417920. Its totient is φ = 5736029376000.

The previous prime is 13303121132311. The next prime is 13303121132339. The reversal of 13303121132312 is 21323112130331.

It is a super-2 number, since 2×13303121132312² (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 (13303121132311) 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, 33309518 + ... + 33706530.

It is an arithmetic number, because the mean of its divisors is an integer number (223820612640).

Almost surely, 2^{13303121132312} 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 13303121132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14324519208960).

13303121132312 is an abundant number, since it is smaller than the sum of its proper divisors (15345917285608).

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

13303121132312 is a wasteful number, since it uses less digits than its factorization.

13303121132312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397305 (or 397301 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 13303121132312 its reverse (21323112130331), we get a palindrome (34626233262643).

The spelling of 13303121132312 in words is "thirteen trillion, three hundred three billion, one hundred twenty-one million, one hundred thirty-two thousand, three hundred twelve".