2431310313104 has 80 divisors (see below), whose sum is σ = 5205542931072. Its totient is φ = 1094206654464.

The previous prime is 2431310313101. The next prime is 2431310313139. The reversal of 2431310313104 is 4013130131342.

It is a super-4 number, since 4×2431310313104⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2431310313101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38774642 + ... + 38837294.

Almost surely, 2^{2431310313104} 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 2431310313104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602771465536).

2431310313104 is an abundant number, since it is smaller than the sum of its proper divisors (2774232617968).

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

2431310313104 is a wasteful number, since it uses less digits than its factorization.

2431310313104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68904 (or 68898 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 2431310313104 its reverse (4013130131342), we get a palindrome (6444440444446).

The spelling of 2431310313104 in words is "two trillion, four hundred thirty-one billion, three hundred ten million, three hundred thirteen thousand, one hundred four".