1023431205000 has 160 divisors (see below), whose sum is σ = 3199312892160. Its totient is φ = 272734560000.

The previous prime is 1023431204981. The next prime is 1023431205011. The reversal of 1023431205000 is 5021343201.

It is a super-2 number, since 2×1023431205000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23483230 + ... + 23526770.

It is an arithmetic number, because the mean of its divisors is an integer number (19995705576).

Almost surely, 2^{1023431205000} is an apocalyptic number.

1023431205000 is a gapful number since it is divisible by the number (10) 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 1023431205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599656446080).

1023431205000 is an abundant number, since it is smaller than the sum of its proper divisors (2175881687160).

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

1023431205000 is a wasteful number, since it uses less digits than its factorization.

1023431205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45137 (or 45118 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 1023431205000 its reverse (5021343201), we get a palindrome (1028452548201).

The spelling of 1023431205000 in words is "one trillion, twenty-three billion, four hundred thirty-one million, two hundred five thousand".