13279281312 has 192 divisors, whose sum is σ = 38684822400. Its totient is φ = 3955015680.

The previous prime is 13279281307. The next prime is 13279281313. The reversal of 13279281312 is 21318297231.

It is not an unprimeable number, because it can be changed into a prime (13279281313) 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, 21522028 + ... + 21522644.

It is an arithmetic number, because the mean of its divisors is an integer number (201483450).

Almost surely, 2^13279281312 is an apocalyptic number.

13279281312 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 13279281312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19342411200).

13279281312 is an abundant number, since it is smaller than the sum of its proper divisors (25405541088).

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

13279281312 is a wasteful number, since it uses less digits than its factorization.

13279281312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 951 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The spelling of 13279281312 in words is "thirteen billion, two hundred seventy-nine million, two hundred eighty-one thousand, three hundred twelve".