1023114301000 has 128 divisors (see below), whose sum is σ = 2612463010560. Its totient is φ = 371937408000.

The previous prime is 1023114300913. The next prime is 1023114301021. The reversal of 1023114301000 is 1034113201.

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, 46992117 + ... + 47013883.

It is an arithmetic number, because the mean of its divisors is an integer number (20409867270).

Almost surely, 2^{1023114301000} is an apocalyptic number.

1023114301000 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 1023114301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306231505280).

1023114301000 is an abundant number, since it is smaller than the sum of its proper divisors (1589348709560).

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

1023114301000 is a wasteful number, since it uses less digits than its factorization.

1023114301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26072 (or 26058 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1023114301000 its reverse (1034113201), we get a palindrome (1024148414201).

The spelling of 1023114301000 in words is "one trillion, twenty-three billion, one hundred fourteen million, three hundred one thousand".