13061397312 has 112 divisors (see below), whose sum is σ = 38428086720. Its totient is φ = 4350398976.

The previous prime is 13061397311. The next prime is 13061397317. The reversal of 13061397312 is 21379316031.

13061397312 is a `hidden beast` number, since 1 + 3 + 0 + 613 + 9 + 7 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13061397311) 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, 3241443 + ... + 3245469.

Almost surely, 2^13061397312 is an apocalyptic number.

13061397312 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 13061397312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19214043360).

13061397312 is an abundant number, since it is smaller than the sum of its proper divisors (25366689408).

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

13061397312 is a wasteful number, since it uses less digits than its factorization.

13061397312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5925 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 13061397312 in words is "thirteen billion, sixty-one million, three hundred ninety-seven thousand, three hundred twelve".