2011231131000 has 512 divisors, whose sum is σ = 7902781286400. Its totient is φ = 414476697600.

The previous prime is 2011231130971. The next prime is 2011231131001. The reversal of 2011231131000 is 1311321102.

It is a happy number.

It is a super-2 number, since 2×2011231131000² (a number of 25 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 not an unprimeable number, because it can be changed into a prime (2011231131001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11653336 + ... + 11824664.

It is an arithmetic number, because the mean of its divisors is an integer number (15435119700).

Almost surely, 2^{2011231131000} is an apocalyptic number.

2011231131000 is a gapful number since it is divisible by the number (20) 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 2011231131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951390643200).

2011231131000 is an abundant number, since it is smaller than the sum of its proper divisors (5891550155400).

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

2011231131000 is a wasteful number, since it uses less digits than its factorization.

2011231131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171416 (or 171402 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2011231131000 its reverse (1311321102), we get a palindrome (2012542452102).

The spelling of 2011231131000 in words is "two trillion, eleven billion, two hundred thirty-one million, one hundred thirty-one thousand".