1023200254314 has 48 divisors (see below), whose sum is σ = 2534360220288. Its totient is φ = 292259680416.

The previous prime is 1023200254273. The next prime is 1023200254331. The reversal of 1023200254314 is 4134520023201.

1023200254314 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 200 + 25 + 431 + 4 = 666.

It is a super-3 number, since 3×1023200254314³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 711342 + ... + 1597625.

It is an arithmetic number, because the mean of its divisors is an integer number (52799171256).

Almost surely, 2^{1023200254314} is an apocalyptic number.

1023200254314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1023200254314 is an abundant number, since it is smaller than the sum of its proper divisors (1511159965974).

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

1023200254314 is a wasteful number, since it uses less digits than its factorization.

1023200254314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312499 (or 2312496 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1023200254314 its reverse (4134520023201), we get a palindrome (5157720277515).

The spelling of 1023200254314 in words is "one trillion, twenty-three billion, two hundred million, two hundred fifty-four thousand, three hundred fourteen".