31240132401312 has 288 divisors, whose sum is σ = 98172082270080. Its totient is φ = 9373046538240.

The previous prime is 31240132401299. The next prime is 31240132401377. The reversal of 31240132401312 is 21310423104213.

31240132401312 is a `hidden beast` number, since 3 + 1 + 2 + 401 + 3 + 240 + 1 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 735196387 + ... + 735238877.

It is an arithmetic number, because the mean of its divisors is an integer number (340875285660).

Almost surely, 2^{31240132401312} is an apocalyptic number.

31240132401312 is a gapful number since it is divisible by the number (32) 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 31240132401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49086041135040).

31240132401312 is an abundant number, since it is smaller than the sum of its proper divisors (66931949868768).

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

31240132401312 is a wasteful number, since it uses less digits than its factorization.

31240132401312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49076 (or 49065 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 31240132401312 its reverse (21310423104213), we get a palindrome (52550555505525).

The spelling of 31240132401312 in words is "thirty-one trillion, two hundred forty billion, one hundred thirty-two million, four hundred one thousand, three hundred twelve".