31320013000100 has 288 divisors, whose sum is σ = 76306622313600. Its totient is φ = 11059476480000.

The previous prime is 31320013000009. The next prime is 31320013000103. The reversal of 31320013000100 is 100031002313.

It is not an unprimeable number, because it can be changed into a prime (31320013000103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9610312271 + ... + 9610315529.

It is an arithmetic number, because the mean of its divisors is an integer number (264953549700).

Almost surely, 2^{31320013000100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31320013000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38153311156800).

31320013000100 is an abundant number, since it is smaller than the sum of its proper divisors (44986609313500).

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

31320013000100 is a wasteful number, since it uses less digits than its factorization.

31320013000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4255 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 31320013000100 its reverse (100031002313), we get a palindrome (31420044002413).

The spelling of 31320013000100 in words is "thirty-one trillion, three hundred twenty billion, thirteen million, one hundred", and thus it is an aban number.