102311313300 has 288 divisors, whose sum is σ = 379628202240. Its totient is φ = 23153472000.

The previous prime is 102311313283. The next prime is 102311313329. The reversal of 102311313300 is 3313113201.

It is a happy number.

102311313300 is a `hidden beast` number, since 1 + 0 + 231 + 131 + 3 + 300 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1882102 + ... + 1935698.

It is an arithmetic number, because the mean of its divisors is an integer number (1318153480).

Almost surely, 2^102311313300 is an apocalyptic number.

102311313300 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 102311313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189814101120).

102311313300 is an abundant number, since it is smaller than the sum of its proper divisors (277316888940).

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

102311313300 is a wasteful number, since it uses less digits than its factorization.

102311313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53728 (or 53715 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 102311313300 its reverse (3313113201), we get a palindrome (105624426501).

The spelling of 102311313300 in words is "one hundred two billion, three hundred eleven million, three hundred thirteen thousand, three hundred".