103011030332320 has 192 divisors, whose sum is σ = 267213191970816. Its totient is φ = 37215303828480.

The previous prime is 103011030332303. The next prime is 103011030332363. The reversal of 103011030332320 is 23233030110301.

It is a super-2 number, since 2×103011030332320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 103011030332291 and 103011030332300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583930849 + ... + 584107231.

It is an arithmetic number, because the mean of its divisors is an integer number (1391735374848).

Almost surely, 2^{103011030332320} is an apocalyptic number.

103011030332320 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 103011030332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133606595985408).

103011030332320 is an abundant number, since it is smaller than the sum of its proper divisors (164202161638496).

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

103011030332320 is a wasteful number, since it uses less digits than its factorization.

103011030332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178563 (or 178555 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 103011030332320 its reverse (23233030110301), we get a palindrome (126244060442621).

The spelling of 103011030332320 in words is "one hundred three trillion, eleven billion, thirty million, three hundred thirty-two thousand, three hundred twenty".