11213542571000 has 256 divisors, whose sum is σ = 32747652587520. Its totient is φ = 3491579520000.

The previous prime is 11213542570999. The next prime is 11213542571009. The reversal of 11213542571000 is 17524531211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213542571009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76233524 + ... + 76380476.

It is an arithmetic number, because the mean of its divisors is an integer number (127920517920).

Almost surely, 2^{11213542571000} is an apocalyptic number.

11213542571000 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 11213542571000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16373826293760).

11213542571000 is an abundant number, since it is smaller than the sum of its proper divisors (21534110016520).

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

11213542571000 is a wasteful number, since it uses less digits than its factorization.

11213542571000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147983 (or 147969 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The spelling of 11213542571000 in words is "eleven trillion, two hundred thirteen billion, five hundred forty-two million, five hundred seventy-one thousand".