20123311131000 has 1152 divisors, whose sum is σ = 86403561865920. Its totient is φ = 4177152000000.

The previous prime is 20123311130863. The next prime is 20123311131037. The reversal of 20123311131000 is 13111332102.

20123311131000 is a `hidden beast` number, since 2 + 0 + 12 + 331 + 11 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×20123311131000² (a number of 27 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 (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7184329600 + ... + 7184332400.

Almost surely, 2^{20123311131000} is an apocalyptic number.

20123311131000 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 20123311131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43201780932960).

20123311131000 is an abundant number, since it is smaller than the sum of its proper divisors (66280250734920).

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

20123311131000 is a wasteful number, since it uses less digits than its factorization.

20123311131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334 (or 4310 counting only the distinct ones).

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

Adding to 20123311131000 its reverse (13111332102), we get a palindrome (20136422463102).

The spelling of 20123311131000 in words is "twenty trillion, one hundred twenty-three billion, three hundred eleven million, one hundred thirty-one thousand".