11003131000 has 256 divisors, whose sum is σ = 28822210560. Its totient is φ = 3910297600.

The previous prime is 11003130959. The next prime is 11003131031. The reversal of 11003131000 is 13130011.

It is a super-2 number, since 2×11003131000² (a number of 21 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41836869 + ... + 41837131.

It is an arithmetic number, because the mean of its divisors is an integer number (112586760).

Almost surely, 2^11003131000 is an apocalyptic number.

11003131000 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 11003131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14411105280).

11003131000 is an abundant number, since it is smaller than the sum of its proper divisors (17819079560).

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

11003131000 is a wasteful number, since it uses less digits than its factorization.

11003131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 11003131000 its reverse (13130011), we get a palindrome (11016261011).

The spelling of 11003131000 in words is "eleven billion, three million, one hundred thirty-one thousand".