102303302310000 has 1200 divisors, whose sum is σ = 393396318881280. Its totient is φ = 24604554240000.

The previous prime is 102303302309983. The next prime is 102303302310023. The reversal of 102303302310000 is 13203303201.

102303302310000 is a `hidden beast` number, since 1 + 0 + 23 + 0 + 330 + 2 + 310 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×102303302310000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 79737569359 + ... + 79737570641.

Almost surely, 2^{102303302310000} is an apocalyptic number.

102303302310000 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 102303302310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196698159440640).

102303302310000 is an abundant number, since it is smaller than the sum of its proper divisors (291093016571280).

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

102303302310000 is a wasteful number, since it uses less digits than its factorization.

102303302310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1880 counting only the distinct ones).

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

Adding to 102303302310000 its reverse (13203303201), we get a palindrome (102316505613201).

The spelling of 102303302310000 in words is "one hundred two trillion, three hundred three billion, three hundred two million, three hundred ten thousand".