102303300312000 has 336 divisors, whose sum is σ = 365976575956992. Its totient is φ = 27279342950400.

The previous prime is 102303300311911. The next prime is 102303300312001. The reversal of 102303300312000 is 213003303201.

102303300312000 is a `hidden beast` number, since 1 + 0 + 23 + 0 + 330 + 0 + 312 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102303300312001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1912077249 + ... + 1912130751.

It is an arithmetic number, because the mean of its divisors is an integer number (1089215999872).

Almost surely, 2^{102303300312000} is an apocalyptic number.

102303300312000 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 102303300312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182988287978496).

102303300312000 is an abundant number, since it is smaller than the sum of its proper divisors (263673275644992).

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

102303300312000 is a wasteful number, since it uses less digits than its factorization.

102303300312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80093 (or 80070 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 102303300312000 its reverse (213003303201), we get a palindrome (102516303615201).

The spelling of 102303300312000 in words is "one hundred two trillion, three hundred three billion, three hundred million, three hundred twelve thousand".