103322211231132 has 192 divisors, whose sum is σ = 289909860710400. Its totient is φ = 31711358165760.

The previous prime is 103322211231119. The next prime is 103322211231193. The reversal of 103322211231132 is 231132112223301.

103322211231132 is a `hidden beast` number, since 1 + 0 + 3 + 322 + 21 + 1 + 2 + 311 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103322211231096 and 103322211231105.

It is a congruent number.

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, 68419858 + ... + 69913670.

It is an arithmetic number, because the mean of its divisors is an integer number (1509947191200).

Almost surely, 2^{103322211231132} is an apocalyptic number.

103322211231132 is a gapful number since it is divisible by the number (12) 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 103322211231132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144954930355200).

103322211231132 is an abundant number, since it is smaller than the sum of its proper divisors (186587649479268).

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

103322211231132 is a wasteful number, since it uses less digits than its factorization.

103322211231132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494793 (or 1494785 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 103322211231132 its reverse (231132112223301), we get a palindrome (334454323454433).

The spelling of 103322211231132 in words is "one hundred three trillion, three hundred twenty-two billion, two hundred eleven million, two hundred thirty-one thousand, one hundred thirty-two".