205312331343000 has 128 divisors (see below), whose sum is σ = 732085112977920. Its totient is φ = 46928532873600.

The previous prime is 205312331342903. The next prime is 205312331343011. The reversal of 205312331343000 is 343133213502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4888367842 + ... + 4888409841.

It is an arithmetic number, because the mean of its divisors is an integer number (5719414945140).

Almost surely, 2^{205312331343000} is an apocalyptic number.

205312331343000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205312331343000 is an abundant number, since it is smaller than the sum of its proper divisors (526772781634920).

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

205312331343000 is a wasteful number, since it uses less digits than its factorization.

205312331343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9776777714 (or 9776777700 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

Adding to 205312331343000 its reverse (343133213502), we get a palindrome (205655464556502).

The spelling of 205312331343000 in words is "two hundred five trillion, three hundred twelve billion, three hundred thirty-one million, three hundred forty-three thousand".