20313323131200 has 672 divisors, whose sum is σ = 73606393889280. Its totient is φ = 4863513600000.

The previous prime is 20313323131183. The next prime is 20313323131217. The reversal of 20313323131200 is 213132331302.

It is an interprime number because it is at equal distance from previous prime (20313323131183) and next prime (20313323131217).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 95 ways as a sum of consecutive naturals, for example, 2234438655 + ... + 2234447745.

It is an arithmetic number, because the mean of its divisors is an integer number (109533324240).

Almost surely, 2^{20313323131200} is an apocalyptic number.

20313323131200 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 20313323131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36803196944640).

20313323131200 is an abundant number, since it is smaller than the sum of its proper divisors (53293070758080).

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

20313323131200 is a wasteful number, since it uses less digits than its factorization.

20313323131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9647 (or 9632 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 20313323131200 its reverse (213132331302), we get a palindrome (20526455462502).

The spelling of 20313323131200 in words is "twenty trillion, three hundred thirteen billion, three hundred twenty-three million, one hundred thirty-one thousand, two hundred".