3101323112032 has 96 divisors (see below), whose sum is σ = 6483640246272. Its totient is φ = 1455219738624.

The previous prime is 3101323112021. The next prime is 3101323112039. The reversal of 3101323112032 is 2302113231013.

It is a junction number, because it is equal to n+sod(n) for n = 3101323111994 and 3101323112012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3101323112039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284964063 + ... + 284974945.

It is an arithmetic number, because the mean of its divisors is an integer number (67537919232).

Almost surely, 2^{3101323112032} is an apocalyptic number.

3101323112032 is a gapful number since it is divisible by the number (32) 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 3101323112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241820123136).

3101323112032 is an abundant number, since it is smaller than the sum of its proper divisors (3382317134240).

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

3101323112032 is a wasteful number, since it uses less digits than its factorization.

3101323112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12380 (or 12372 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 3101323112032 its reverse (2302113231013), we get a palindrome (5403436343045).

The spelling of 3101323112032 in words is "three trillion, one hundred one billion, three hundred twenty-three million, one hundred twelve thousand, thirty-two".