31320141224100 has 144 divisors (see below), whose sum is σ = 92255462147520. Its totient is φ = 8201714572800.

The previous prime is 31320141224051. The next prime is 31320141224107. The reversal of 31320141224100 is 142214102313.

It is not an unprimeable number, because it can be changed into a prime (31320141224107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9821911 + ... + 12613889.

It is an arithmetic number, because the mean of its divisors is an integer number (640662931580).

Almost surely, 2^{31320141224100} is an apocalyptic number.

31320141224100 is a gapful number since it is divisible by the number (30) 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 31320141224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46127731073760).

31320141224100 is an abundant number, since it is smaller than the sum of its proper divisors (60935320923420).

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

31320141224100 is a wasteful number, since it uses less digits than its factorization.

31320141224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792670 (or 2792663 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 31320141224100 its reverse (142214102313), we get a palindrome (31462355326413).

The spelling of 31320141224100 in words is "thirty-one trillion, three hundred twenty billion, one hundred forty-one million, two hundred twenty-four thousand, one hundred".