103111211023232 has 256 divisors, whose sum is σ = 222466974336000. Its totient is φ = 47454113710080.

The previous prime is 103111211023217. The next prime is 103111211023237. The reversal of 103111211023232 is 232320112111301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 103111211023198 and 103111211023207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103111211023237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18819345869 + ... + 18819351347.

It is an arithmetic number, because the mean of its divisors is an integer number (869011618500).

Almost surely, 2^{103111211023232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103111211023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111233487168000).

103111211023232 is an abundant number, since it is smaller than the sum of its proper divisors (119355763312768).

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

103111211023232 is a wasteful number, since it uses less digits than its factorization.

103111211023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7149 (or 7137 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 103111211023232 its reverse (232320112111301), we get a palindrome (335431323134533).

The spelling of 103111211023232 in words is "one hundred three trillion, one hundred eleven billion, two hundred eleven million, twenty-three thousand, two hundred thirty-two".