13337180982552 has 128 divisors (see below), whose sum is σ = 39881019110400. Its totient is φ = 3634127659008.

The previous prime is 13337180982527. The next prime is 13337180982571. The reversal of 13337180982552 is 25528908173331.

It is a super-3 number, since 3×13337180982552³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 13337180982492 and 13337180982501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3818977 + ... + 6423312.

It is an arithmetic number, because the mean of its divisors is an integer number (311570461800).

Almost surely, 2^{13337180982552} is an apocalyptic number.

13337180982552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13337180982552 is an abundant number, since it is smaller than the sum of its proper divisors (26543838127848).

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

13337180982552 is a wasteful number, since it uses less digits than its factorization.

13337180982552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10242665 (or 10242661 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 13337180982552 in words is "thirteen trillion, three hundred thirty-seven billion, one hundred eighty million, nine hundred eighty-two thousand, five hundred fifty-two".