13102489387008 has 2160 divisors, whose sum is σ = 50743086297120. Its totient is φ = 3317547663360.

The previous prime is 13102489386979. The next prime is 13102489387033. The reversal of 13102489387008 is 80078398420131.

It is a happy number.

13102489387008 is a `hidden beast` number, since 1 + 3 + 10 + 248 + 9 + 387 + 0 + 0 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 354121334766 + ... + 354121334802.

It is an arithmetic number, because the mean of its divisors is an integer number (23492169582).

Almost surely, 2^{13102489387008} is an apocalyptic number.

13102489387008 is a gapful number since it is divisible by the number (18) 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 13102489387008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25371543148560).

13102489387008 is an abundant number, since it is smaller than the sum of its proper divisors (37640596910112).

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

13102489387008 is an equidigital number, since it uses as much as digits as its factorization.

13102489387008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 13102489387008 in words is "thirteen trillion, one hundred two billion, four hundred eighty-nine million, three hundred eighty-seven thousand, eight".