31143315299712 has 1536 divisors, whose sum is σ = 113506396416000. Its totient is φ = 7382140846080.

The previous prime is 31143315299699. The next prime is 31143315299713. The reversal of 31143315299712 is 21799251334113.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31143315299713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19307696218 + ... + 19307697830.

It is an arithmetic number, because the mean of its divisors is an integer number (73897393500).

Almost surely, 2^{31143315299712} is an apocalyptic number.

31143315299712 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 31143315299712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56753198208000).

31143315299712 is an abundant number, since it is smaller than the sum of its proper divisors (82363081116288).

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

31143315299712 is a wasteful number, since it uses less digits than its factorization.

31143315299712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1777 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 51.

The spelling of 31143315299712 in words is "thirty-one trillion, one hundred forty-three billion, three hundred fifteen million, two hundred ninety-nine thousand, seven hundred twelve".