31134430140000 has 360 divisors, whose sum is σ = 112255497086040. Its totient is φ = 7547738880000.

The previous prime is 31134430139959. The next prime is 31134430140001. The reversal of 31134430140000 is 4103443113.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31134430140001) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 5115756 + ... + 9404244.

It is an arithmetic number, because the mean of its divisors is an integer number (311820825239).

Almost surely, 2^{31134430140000} is an apocalyptic number.

31134430140000 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 31134430140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56127748543020).

31134430140000 is an abundant number, since it is smaller than the sum of its proper divisors (81121066946040).

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

31134430140000 is a wasteful number, since it uses less digits than its factorization.

31134430140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288544 (or 4288510 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31134430140000 its reverse (4103443113), we get a palindrome (31138533583113).

The spelling of 31134430140000 in words is "thirty-one trillion, one hundred thirty-four billion, four hundred thirty million, one hundred forty thousand".