102313133200 has 120 divisors (see below), whose sum is σ = 260997759360. Its totient is φ = 38409676800.

The previous prime is 102313133191. The next prime is 102313133203. The reversal of 102313133200 is 2331313201.

It is not an unprimeable number, because it can be changed into a prime (102313133203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2420245 + ... + 2462155.

It is an arithmetic number, because the mean of its divisors is an integer number (2174981328).

Almost surely, 2^102313133200 is an apocalyptic number.

102313133200 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 102313133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130498879680).

102313133200 is an abundant number, since it is smaller than the sum of its proper divisors (158684626160).

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

102313133200 is a wasteful number, since it uses less digits than its factorization.

102313133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42305 (or 42294 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 102313133200 its reverse (2331313201), we get a palindrome (104644446401).

It can be divided in two parts, 1023131 and 33200, that added together give a triangular number (1056331 = T₁₄₅₃).

The spelling of 102313133200 in words is "one hundred two billion, three hundred thirteen million, one hundred thirty-three thousand, two hundred".