13023613217160 has 1152 divisors, whose sum is σ = 57380024782080. Its totient is φ = 2628339259392.

The previous prime is 13023613217107. The next prime is 13023613217191. The reversal of 13023613217160 is 6171231632031.

13023613217160 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 3 + 613 + 21 + 7 + 16 + 0 = 666.

It is a super-2 number, since 2×13023613217160² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 142361994 + ... + 142453446.

It is an arithmetic number, because the mean of its divisors is an integer number (49809049290).

Almost surely, 2^{13023613217160} is an apocalyptic number.

13023613217160 is a gapful number since it is divisible by the number (10) 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 13023613217160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28690012391040).

13023613217160 is an abundant number, since it is smaller than the sum of its proper divisors (44356411564920).

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

13023613217160 is a wasteful number, since it uses less digits than its factorization.

13023613217160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91529 (or 91506 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 13023613217160 its reverse (6171231632031), we get a palindrome (19194844849191).

It can be divided in two parts, 1302361 and 3217160, that added together give a triangular number (4519521 = T₃₀₀₆).

The spelling of 13023613217160 in words is "thirteen trillion, twenty-three billion, six hundred thirteen million, two hundred seventeen thousand, one hundred sixty".