31300134142024 has 128 divisors (see below), whose sum is σ = 64889351424000. Its totient is φ = 14036334208000.

The previous prime is 31300134142007. The next prime is 31300134142031. The reversal of 31300134142024 is 42024143100313.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 31300134141983 and 31300134142001.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1695464154 + ... + 1695482614.

It is an arithmetic number, because the mean of its divisors is an integer number (506948058000).

Almost surely, 2^{31300134142024} 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 31300134142024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32444675712000).

31300134142024 is an abundant number, since it is smaller than the sum of its proper divisors (33589217281976).

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

31300134142024 is a wasteful number, since it uses less digits than its factorization.

31300134142024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19495 (or 19491 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 31300134142024 its reverse (42024143100313), we get a palindrome (73324277242337).

The spelling of 31300134142024 in words is "thirty-one trillion, three hundred billion, one hundred thirty-four million, one hundred forty-two thousand, twenty-four".