205102131300 has 108 divisors (see below), whose sum is σ = 701325018576. Its totient is φ = 49721726400.

The previous prime is 205102131293. The next prime is 205102131307. The reversal of 205102131300 is 3131201502.

205102131300 is a `hidden beast` number, since 2 + 0 + 510 + 21 + 3 + 130 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (205102131293) and next prime (205102131307).

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

It is not an unprimeable number, because it can be changed into a prime (205102131307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10348794 + ... + 10368593.

It is an arithmetic number, because the mean of its divisors is an integer number (6493750172).

Almost surely, 2^205102131300 is an apocalyptic number.

205102131300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205102131300 is an abundant number, since it is smaller than the sum of its proper divisors (496222887276).

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

205102131300 is a wasteful number, since it uses less digits than its factorization.

205102131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20717418 (or 20717408 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 205102131300 its reverse (3131201502), we get a palindrome (208233332802).

The spelling of 205102131300 in words is "two hundred five billion, one hundred two million, one hundred thirty-one thousand, three hundred".