10513869866100 has 432 divisors, whose sum is σ = 36742473331200. Its totient is φ = 2499056271360.

The previous prime is 10513869866099. The next prime is 10513869866107. The reversal of 10513869866100 is 166896831501.

10513869866100 is a `hidden beast` number, since 1 + 0 + 5 + 13 + 8 + 6 + 9 + 8 + 6 + 610 + 0 = 666.

It is a super-2 number, since 2×10513869866100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513869866107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1571811556 + ... + 1571818244.

It is an arithmetic number, because the mean of its divisors is an integer number (85052021600).

Almost surely, 2^{10513869866100} is an apocalyptic number.

10513869866100 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 10513869866100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18371236665600).

10513869866100 is an abundant number, since it is smaller than the sum of its proper divisors (26228603465100).

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

10513869866100 is a wasteful number, since it uses less digits than its factorization.

10513869866100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12152 (or 12142 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 10513869866100 in words is "ten trillion, five hundred thirteen billion, eight hundred sixty-nine million, eight hundred sixty-six thousand, one hundred".