13337382912 has 312 divisors, whose sum is σ = 43835086656. Its totient is φ = 3583770624.

The previous prime is 13337382869. The next prime is 13337382917. The reversal of 13337382912 is 21928373331.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13337382917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10235253 + ... + 10236555.

Almost surely, 2^13337382912 is an apocalyptic number.

13337382912 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 13337382912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21917543328).

13337382912 is an abundant number, since it is smaller than the sum of its proper divisors (30497703744).

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

13337382912 is a wasteful number, since it uses less digits than its factorization.

13337382912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1332 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The spelling of 13337382912 in words is "thirteen billion, three hundred thirty-seven million, three hundred eighty-two thousand, nine hundred twelve".