11013010023000 has 256 divisors, whose sum is σ = 36880195847040. Its totient is φ = 2726184960000.

The previous prime is 11013010022893. The next prime is 11013010023023. The reversal of 11013010023000 is 32001031011.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 2243950 + ... + 5202050.

Almost surely, 2^{11013010023000} is an apocalyptic number.

11013010023000 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 11013010023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18440097923520).

11013010023000 is an abundant number, since it is smaller than the sum of its proper divisors (25867185824040).

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

11013010023000 is a wasteful number, since it uses less digits than its factorization.

11013010023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958215 (or 2958201 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11013010023000 its reverse (32001031011), we get a palindrome (11045011054011).

The spelling of 11013010023000 in words is "eleven trillion, thirteen billion, ten million, twenty-three thousand".