10001131100440 has 64 divisors (see below), whose sum is σ = 23056062160320. Its totient is φ = 3902088960000.

The previous prime is 10001131100423. The next prime is 10001131100449. The reversal of 10001131100440 is 4400113110001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001131100449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7503780 + ... + 8735500.

It is an arithmetic number, because the mean of its divisors is an integer number (360250971255).

Almost surely, 2^{10001131100440} is an apocalyptic number.

10001131100440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001131100440 is an abundant number, since it is smaller than the sum of its proper divisors (13054931059880).

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

10001131100440 is a wasteful number, since it uses less digits than its factorization.

10001131100440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236724 (or 1236720 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10001131100440 its reverse (4400113110001), we get a palindrome (14401244210441).

The spelling of 10001131100440 in words is "ten trillion, one billion, one hundred thirty-one million, one hundred thousand, four hundred forty".