10001131200 has 126 divisors (see below), whose sum is σ = 35546432844. Its totient is φ = 2666964480.

The previous prime is 10001131169. The next prime is 10001131237. The reversal of 10001131200 is 213110001.

It is a super-2 number, since 2×10001131200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 332862 + ... + 361661.

Almost surely, 2^10001131200 is an apocalyptic number.

10001131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001131200 is an abundant number, since it is smaller than the sum of its proper divisors (25545301644).

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

10001131200 is a wasteful number, since it uses less digits than its factorization.

10001131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694551 (or 694533 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10001131200 its reverse (213110001), we get a palindrome (10214241201).

The spelling of 10001131200 in words is "ten billion, one million, one hundred thirty-one thousand, two hundred".