20310013123200 has 288 divisors, whose sum is σ = 74429454868860. Its totient is φ = 5269624750080.

The previous prime is 20310013123157. The next prime is 20310013123259. The reversal of 20310013123200 is 232131001302.

20310013123200 is a `hidden beast` number, since 2 + 0 + 31 + 0 + 0 + 1 + 312 + 320 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15566433666624 + 4743579456576 = 3945432^2 + 2177976^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8464249 + ... + 10595448.

Almost surely, 2^{20310013123200} is an apocalyptic number.

20310013123200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20310013123200 is an abundant number, since it is smaller than the sum of its proper divisors (54119441745660).

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

20310013123200 is a wasteful number, since it uses less digits than its factorization.

20310013123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19059764 (or 19059744 counting only the distinct ones).

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

Adding to 20310013123200 its reverse (232131001302), we get a palindrome (20542144124502).

The spelling of 20310013123200 in words is "twenty trillion, three hundred ten billion, thirteen million, one hundred twenty-three thousand, two hundred".