31144321103232 has 128 divisors (see below), whose sum is σ = 87400609113600. Its totient is φ = 9810194401280.

The previous prime is 31144321103209. The next prime is 31144321103239. The reversal of 31144321103232 is 23230112344113.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 31144321103232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31144321103239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29228994 + ... + 30275777.

It is an arithmetic number, because the mean of its divisors is an integer number (682817258700).

Almost surely, 2^{31144321103232} is an apocalyptic number.

31144321103232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31144321103232 is an abundant number, since it is smaller than the sum of its proper divisors (56256288010368).

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

31144321103232 is a wasteful number, since it uses less digits than its factorization.

31144321103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59504864 (or 59504852 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 31144321103232 its reverse (23230112344113), we get a palindrome (54374433447345).

The spelling of 31144321103232 in words is "thirty-one trillion, one hundred forty-four billion, three hundred twenty-one million, one hundred three thousand, two hundred thirty-two".