103312201101132 has 96 divisors (see below), whose sum is σ = 254166095232000. Its totient is φ = 32596669366272.

The previous prime is 103312201101059. The next prime is 103312201101149. The reversal of 103312201101132 is 231101102213301.

It is a junction number, because it is equal to n+sod(n) for n = 103312201101099 and 103312201101108.

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, 229988044 + ... + 230436812.

It is an arithmetic number, because the mean of its divisors is an integer number (2647563492000).

Almost surely, 2^{103312201101132} is an apocalyptic number.

103312201101132 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 103312201101132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127083047616000).

103312201101132 is an abundant number, since it is smaller than the sum of its proper divisors (150853894130868).

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

103312201101132 is a wasteful number, since it uses less digits than its factorization.

103312201101132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457495 (or 457493 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 103312201101132 its reverse (231101102213301), we get a palindrome (334413303314433).

The spelling of 103312201101132 in words is "one hundred three trillion, three hundred twelve billion, two hundred one million, one hundred one thousand, one hundred thirty-two".