11121010131000 has 512 divisors, whose sum is σ = 43294777344000. Its totient is φ = 2308963392000.

The previous prime is 11121010130999. The next prime is 11121010131041. The reversal of 11121010131000 is 13101012111.

11121010131000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11121010131000² (a number of 27 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 290809881 + ... + 290848119.

It is an arithmetic number, because the mean of its divisors is an integer number (84560112000).

Almost surely, 2^{11121010131000} is an apocalyptic number.

11121010131000 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 11121010131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21647388672000).

11121010131000 is an abundant number, since it is smaller than the sum of its proper divisors (32173767213000).

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

11121010131000 is a wasteful number, since it uses less digits than its factorization.

11121010131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39540 (or 39526 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 11121010131000 its reverse (13101012111), we get a palindrome (11134111143111).

The spelling of 11121010131000 in words is "eleven trillion, one hundred twenty-one billion, ten million, one hundred thirty-one thousand".