13078381661730 has 256 divisors, whose sum is σ = 43559474872320. Its totient is φ = 2712704428800.

The previous prime is 13078381661713. The next prime is 13078381661731. The reversal of 13078381661730 is 3716618387031.

13078381661730 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 8 + 3 + 8 + 16 + 617 + 3 + 0 = 666.

It is a super-2 number, since 2×13078381661730² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13078381661731) 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 127 ways as a sum of consecutive naturals, for example, 11015335 + ... + 12144725.

It is an arithmetic number, because the mean of its divisors is an integer number (170154198720).

Almost surely, 2^{13078381661730} is an apocalyptic number.

13078381661730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13078381661730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21779737436160).

13078381661730 is an abundant number, since it is smaller than the sum of its proper divisors (30481093210590).

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

13078381661730 is a wasteful number, since it uses less digits than its factorization.

13078381661730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129982 (or 1129976 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 13078381661730 in words is "thirteen trillion, seventy-eight billion, three hundred eighty-one million, six hundred sixty-one thousand, seven hundred thirty".