102333213300000 has 288 divisors, whose sum is σ = 335934968410944. Its totient is φ = 27274584960000.

The previous prime is 102333213299957. The next prime is 102333213300023. The reversal of 102333213300000 is 3312333201.

It is a self number, because there is not a number n which added to its sum of digits gives 102333213300000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 579811767 + ... + 579988233.

It is an arithmetic number, because the mean of its divisors is an integer number (1166440862538).

Almost surely, 2^{102333213300000} is an apocalyptic number.

102333213300000 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 102333213300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167967484205472).

102333213300000 is an abundant number, since it is smaller than the sum of its proper divisors (233601755110944).

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

102333213300000 is an equidigital number, since it uses as much as digits as its factorization.

102333213300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178438 (or 178410 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 102333213300000 its reverse (3312333201), we get a palindrome (102336525633201).

The spelling of 102333213300000 in words is "one hundred two trillion, three hundred thirty-three billion, two hundred thirteen million, three hundred thousand".