10000011131200 has 336 divisors, whose sum is σ = 25787218976640. Its totient is φ = 3813626880000.

The previous prime is 10000011131179. The next prime is 10000011131239. The reversal of 10000011131200 is 213111000001.

It is a super-2 number, since 2×10000011131200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493354666 + ... + 493374934.

Almost surely, 2^{10000011131200} is an apocalyptic number.

10000011131200 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 10000011131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12893609488320).

10000011131200 is an abundant number, since it is smaller than the sum of its proper divisors (15787207845440).

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

10000011131200 is a wasteful number, since it uses less digits than its factorization.

10000011131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20506 (or 20491 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10000011131200 its reverse (213111000001), we get a palindrome (10213122131201).

The spelling of 10000011131200 in words is "ten trillion, eleven million, one hundred thirty-one thousand, two hundred".