2313211131000 has 1536 divisors, whose sum is σ = 10771355013120. Its totient is φ = 432672768000.

The previous prime is 2313211130987. The next prime is 2313211131037. The reversal of 2313211131000 is 1311123132.

2313211131000 is a `hidden beast` number, since 2 + 31 + 321 + 1 + 1 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×2313211131000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 270958732 + ... + 270967268.

It is an arithmetic number, because the mean of its divisors is an integer number (7012600920).

Almost surely, 2^{2313211131000} is an apocalyptic number.

2313211131000 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 2313211131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385677506560).

2313211131000 is an abundant number, since it is smaller than the sum of its proper divisors (8458143882120).

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

2313211131000 is a wasteful number, since it uses less digits than its factorization.

2313211131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8622 (or 8605 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2313211131000 its reverse (1311123132), we get a palindrome (2314522254132).

The spelling of 2313211131000 in words is "two trillion, three hundred thirteen billion, two hundred eleven million, one hundred thirty-one thousand".