11311013000 has 192 divisors, whose sum is σ = 30922819200. Its totient is φ = 3861244800.

The previous prime is 11311012991. The next prime is 11311013003. The reversal of 11311013000 is 31011311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11311013003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17590679 + ... + 17591321.

It is an arithmetic number, because the mean of its divisors is an integer number (161056350).

Almost surely, 2^11311013000 is an apocalyptic number.

11311013000 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 11311013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15461409600).

11311013000 is an abundant number, since it is smaller than the sum of its proper divisors (19611806200).

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

11311013000 is a wasteful number, since it uses less digits than its factorization.

11311013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 11311013000 its reverse (31011311), we get a palindrome (11342024311).

The spelling of 11311013000 in words is "eleven billion, three hundred eleven million, thirteen thousand".