102313300333320 has 384 divisors, whose sum is σ = 345521816640000. Its totient is φ = 26225130000384.

The previous prime is 102313300333289. The next prime is 102313300333357. The reversal of 102313300333320 is 23333003313201.

102313300333320 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 1 + 3 + 3 + 0 + 0 + 333 + 320 = 666.

It is a super-2 number, since 2×102313300333320² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4417851901 + ... + 4417875059.

It is an arithmetic number, because the mean of its divisors is an integer number (899796397500).

Almost surely, 2^{102313300333320} is an apocalyptic number.

102313300333320 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 102313300333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172760908320000).

102313300333320 is an abundant number, since it is smaller than the sum of its proper divisors (243208516306680).

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

102313300333320 is a wasteful number, since it uses less digits than its factorization.

102313300333320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25077 (or 25070 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 102313300333320 its reverse (23333003313201), we get a palindrome (125646303646521).

The spelling of 102313300333320 in words is "one hundred two trillion, three hundred thirteen billion, three hundred million, three hundred thirty-three thousand, three hundred twenty".