13105066243500 has 864 divisors, whose sum is σ = 52691273893440. Its totient is φ = 2711326464000.

The previous prime is 13105066243487. The next prime is 13105066243531. The reversal of 13105066243500 is 534266050131.

13105066243500 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 50 + 6 + 62 + 43 + 500 = 666.

It is a super-2 number, since 2×13105066243500² (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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 565129906 + ... + 565153094.

It is an arithmetic number, because the mean of its divisors is an integer number (60985270710).

Almost surely, 2^{13105066243500} is an apocalyptic number.

13105066243500 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 13105066243500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26345636946720).

13105066243500 is an abundant number, since it is smaller than the sum of its proper divisors (39586207649940).

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

13105066243500 is a wasteful number, since it uses less digits than its factorization.

13105066243500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23472 (or 23450 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 13105066243500 in words is "thirteen trillion, one hundred five billion, sixty-six million, two hundred forty-three thousand, five hundred".