13137417216 has 880 divisors, whose sum is σ = 52216382592. Its totient is φ = 3211591680.

The previous prime is 13137417203. The next prime is 13137417217. The reversal of 13137417216 is 61271473131.

It is a happy number.

13137417216 is a `hidden beast` number, since 13 + 13 + 7 + 417 + 216 = 666.

It is a super-2 number, since 2×13137417216² (a number of 21 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13137417217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 772789240 + ... + 772789256.

Almost surely, 2^13137417216 is an apocalyptic number.

13137417216 is a gapful number since it is divisible by the number (16) 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 13137417216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26108191296).

13137417216 is an abundant number, since it is smaller than the sum of its proper divisors (39078965376).

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

13137417216 is an equidigital number, since it uses as much as digits as its factorization.

13137417216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 40 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The spelling of 13137417216 in words is "thirteen billion, one hundred thirty-seven million, four hundred seventeen thousand, two hundred sixteen".