103133333212320 has 384 divisors, whose sum is σ = 344661556764672. Its totient is φ = 25890671206400.

The previous prime is 103133333212307. The next prime is 103133333212369. The reversal of 103133333212320 is 23212333331301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64886947 + ... + 66457373.

It is an arithmetic number, because the mean of its divisors is an integer number (897556137408).

Almost surely, 2^{103133333212320} is an apocalyptic number.

103133333212320 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 103133333212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172330778382336).

103133333212320 is an abundant number, since it is smaller than the sum of its proper divisors (241528223552352).

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

103133333212320 is a wasteful number, since it uses less digits than its factorization.

103133333212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570604 (or 1570596 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 103133333212320 its reverse (23212333331301), we get a palindrome (126345666543621).

The spelling of 103133333212320 in words is "one hundred three trillion, one hundred thirty-three billion, three hundred thirty-three million, two hundred twelve thousand, three hundred twenty".