10011000131000 has 128 divisors (see below), whose sum is σ = 25687769664960. Its totient is φ = 3621500928000.

The previous prime is 10011000130997. The next prime is 10011000131039. The reversal of 10011000131000 is 13100011001.

It is a super-2 number, since 2×10011000131000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234749 + ... + 4480748.

Almost surely, 2^{10011000131000} is an apocalyptic number.

10011000131000 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 10011000131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12843884832480).

10011000131000 is an abundant number, since it is smaller than the sum of its proper divisors (15676769533960).

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

10011000131000 is a wasteful number, since it uses less digits than its factorization.

10011000131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715722 (or 4715708 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 10011000131000 its reverse (13100011001), we get a palindrome (10024100142001).

It can be divided in two parts, 100110001 and 31000, that added together give a palindrome (100141001).

The spelling of 10011000131000 in words is "ten trillion, eleven billion, one hundred thirty-one thousand".