10511213105000 has 160 divisors (see below), whose sum is σ = 25195753028160. Its totient is φ = 4108567680000.

The previous prime is 10511213104991. The next prime is 10511213105027. The reversal of 10511213105000 is 50131211501.

It is a happy number.

It is a super-2 number, since 2×10511213105000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39983987 + ... + 40246013.

It is an arithmetic number, because the mean of its divisors is an integer number (157473456426).

Almost surely, 2^{10511213105000} is an apocalyptic number.

10511213105000 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 10511213105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12597876514080).

10511213105000 is an abundant number, since it is smaller than the sum of its proper divisors (14684539923160).

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

10511213105000 is a wasteful number, since it uses less digits than its factorization.

10511213105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262237 (or 262218 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 10511213105000 its reverse (50131211501), we get a palindrome (10561344316501).

The spelling of 10511213105000 in words is "ten trillion, five hundred eleven billion, two hundred thirteen million, one hundred five thousand".