2231032131000 has 384 divisors, whose sum is σ = 7876614096000. Its totient is φ = 568506470400.

The previous prime is 2231032130993. The next prime is 2231032131007. The reversal of 2231032131000 is 1312301322.

2231032131000 is a `hidden beast` number, since 2 + 2 + 31 + 0 + 321 + 310 + 0 + 0 = 666.

2231032131000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2231032130993) and next prime (2231032131007).

It is a super-3 number, since 3×2231032131000³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231032131007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 231214176 + ... + 231223824.

It is an arithmetic number, because the mean of its divisors is an integer number (20512015875).

Almost surely, 2^{2231032131000} is an apocalyptic number.

2231032131000 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 2231032131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938307048000).

2231032131000 is an abundant number, since it is smaller than the sum of its proper divisors (5645581965000).

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

2231032131000 is a wasteful number, since it uses less digits than its factorization.

2231032131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10816 (or 10799 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2231032131000 its reverse (1312301322), we get a palindrome (2232344432322).

The spelling of 2231032131000 in words is "two trillion, two hundred thirty-one billion, thirty-two million, one hundred thirty-one thousand".