13337473338 has 128 divisors (see below), whose sum is σ = 34312212480. Its totient is φ = 3761640000.

The previous prime is 13337473337. The next prime is 13337473349. The reversal of 13337473338 is 83337473331.

It is a junction number, because it is equal to n+sod(n) for n = 13337473293 and 13337473302.

It is not an unprimeable number, because it can be changed into a prime (13337473337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10330473 + ... + 10331763.

It is an arithmetic number, because the mean of its divisors is an integer number (268064160).

Almost surely, 2^13337473338 is an apocalyptic number.

13337473338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13337473338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17156106240).

13337473338 is an abundant number, since it is smaller than the sum of its proper divisors (20974739142).

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

13337473338 is a wasteful number, since it uses less digits than its factorization.

13337473338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1635 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 45.

The spelling of 13337473338 in words is "thirteen billion, three hundred thirty-seven million, four hundred seventy-three thousand, three hundred thirty-eight".