103311312000000 has 1232 divisors, whose sum is σ = 392520019429440. Its totient is φ = 23932108800000.

The previous prime is 103311311999851. The next prime is 103311312000077. The reversal of 103311312000000 is 213113301.

It is a super-2 number, since 2×103311312000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10607995131 + ... + 10608004869.

Almost surely, 2^{103311312000000} is an apocalyptic number.

103311312000000 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 103311312000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196260009714720).

103311312000000 is an abundant number, since it is smaller than the sum of its proper divisors (289208707429440).

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

103311312000000 is an frugal number, since it uses more digits than its factorization.

103311312000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9822 (or 9779 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 103311312000000 its reverse (213113301), we get a palindrome (103311525113301).

The spelling of 103311312000000 in words is "one hundred three trillion, three hundred eleven billion, three hundred twelve million", and thus it is an aban number.