10001131000 has 128 divisors (see below), whose sum is σ = 27123932160. Its totient is φ = 3380496000.

The previous prime is 10001130973. The next prime is 10001131027. The reversal of 10001131000 is 13110001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10001130973) and next prime (10001131027).

It is a super-2 number, since 2×10001131000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

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, 486939 + ... + 507061.

It is an arithmetic number, because the mean of its divisors is an integer number (211905720).

Almost surely, 2^10001131000 is an apocalyptic number.

10001131000 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 10001131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13561966080).

10001131000 is an abundant number, since it is smaller than the sum of its proper divisors (17122801160).

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

10001131000 is a wasteful number, since it uses less digits than its factorization.

10001131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20222 (or 20208 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 10001131000 its reverse (13110001), we get a palindrome (10014241001).

The spelling of 10001131000 in words is "ten billion, one million, one hundred thirty-one thousand".