11000102313000 has 128 divisors (see below), whose sum is σ = 34360281072000. Its totient is φ = 2929945075200.

The previous prime is 11000102312999. The next prime is 11000102313017. The reversal of 11000102313000 is 31320100011.

It is a super-3 number, since 3×11000102313000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442716 + ... + 4711284.

It is an arithmetic number, because the mean of its divisors is an integer number (268439695875).

Almost surely, 2^{11000102313000} is an apocalyptic number.

11000102313000 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 11000102313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17180140536000).

11000102313000 is an abundant number, since it is smaller than the sum of its proper divisors (23360178759000).

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

11000102313000 is a wasteful number, since it uses less digits than its factorization.

11000102313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4269452 (or 4269438 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11000102313000 its reverse (31320100011), we get a palindrome (11031422413011).

The spelling of 11000102313000 in words is "eleven trillion, one hundred two million, three hundred thirteen thousand".