103312102311000 has 384 divisors, whose sum is σ = 400989372825600. Its totient is φ = 23727180960000.

The previous prime is 103312102310969. The next prime is 103312102311017. The reversal of 103312102311000 is 113201213301.

103312102311000 is a `hidden beast` number, since 1 + 0 + 331 + 2 + 1 + 0 + 231 + 100 + 0 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25581016 + ... + 29343015.

It is an arithmetic number, because the mean of its divisors is an integer number (1044243158400).

Almost surely, 2^{103312102311000} is an apocalyptic number.

103312102311000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103312102311000 is an abundant number, since it is smaller than the sum of its proper divisors (297677270514600).

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

103312102311000 is a wasteful number, since it uses less digits than its factorization.

103312102311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54924088 (or 54924071 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103312102311000 its reverse (113201213301), we get a palindrome (103425303524301).

The spelling of 103312102311000 in words is "one hundred three trillion, three hundred twelve billion, one hundred two million, three hundred eleven thousand".