11053131000 has 256 divisors, whose sum is σ = 35471554560. Its totient is φ = 2864217600.

The previous prime is 11053130983. The next prime is 11053131049. The reversal of 11053131000 is 13135011.

It is a super-2 number, since 2×11053131000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39056859 + ... + 39057141.

It is an arithmetic number, because the mean of its divisors is an integer number (138560760).

Almost surely, 2^11053131000 is an apocalyptic number.

11053131000 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 11053131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17735777280).

11053131000 is an abundant number, since it is smaller than the sum of its proper divisors (24418423560).

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

11053131000 is a wasteful number, since it uses less digits than its factorization.

11053131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 15.

Adding to 11053131000 its reverse (13135011), we get a palindrome (11066266011).

The spelling of 11053131000 in words is "eleven billion, fifty-three million, one hundred thirty-one thousand".