1023345324300 has 288 divisors, whose sum is σ = 3256036725312. Its totient is φ = 246626795520.

The previous prime is 1023345324299. The next prime is 1023345324301. The reversal of 1023345324300 is 34235433201.

It is an interprime number because it is at equal distance from previous prime (1023345324299) and next prime (1023345324301).

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

It is not an unprimeable number, because it can be changed into a prime (1023345324301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38990782 + ... + 39017018.

It is an arithmetic number, because the mean of its divisors is an integer number (11305683074).

Almost surely, 2^{1023345324300} is an apocalyptic number.

1023345324300 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 1023345324300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628018362656).

1023345324300 is an abundant number, since it is smaller than the sum of its proper divisors (2232691401012).

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

1023345324300 is a wasteful number, since it uses less digits than its factorization.

1023345324300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26477 (or 26470 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The spelling of 1023345324300 in words is "one trillion, twenty-three billion, three hundred forty-five million, three hundred twenty-four thousand, three hundred".