102313411200 has 2304 divisors, whose sum is σ = 514748304000. Its totient is φ = 19624550400.

The previous prime is 102313411141. The next prime is 102313411229. The reversal of 102313411200 is 2114313201.

102313411200 is a `hidden beast` number, since 1 + 0 + 231 + 3 + 411 + 20 + 0 = 666.

It is a super-2 number, since 2×102313411200² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7870262394 + ... + 7870262406.

Almost surely, 2^102313411200 is an apocalyptic number.

102313411200 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 102313411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257374152000).

102313411200 is an abundant number, since it is smaller than the sum of its proper divisors (412434892800).

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

102313411200 is a wasteful number, since it uses less digits than its factorization.

102313411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102313411200 its reverse (2114313201), we get a palindrome (104427724401).

The spelling of 102313411200 in words is "one hundred two billion, three hundred thirteen million, four hundred eleven thousand, two hundred".