31411013141112 has 256 divisors, whose sum is σ = 87681721881600. Its totient is φ = 9296257351680.

The previous prime is 31411013141099. The next prime is 31411013141117. The reversal of 31411013141112 is 21114131011413.

It is a super-2 number, since 2×31411013141112² (a number of 28 digits) contains 22 as substring.

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 (31411013141117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10201691589 + ... + 10201694667.

It is an arithmetic number, because the mean of its divisors is an integer number (342506726100).

Almost surely, 2^{31411013141112} 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 31411013141112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43840860940800).

31411013141112 is an abundant number, since it is smaller than the sum of its proper divisors (56270708740488).

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

31411013141112 is a wasteful number, since it uses less digits than its factorization.

31411013141112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6246 (or 6242 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 31411013141112 its reverse (21114131011413), we get a palindrome (52525144152525).

The spelling of 31411013141112 in words is "thirty-one trillion, four hundred eleven billion, thirteen million, one hundred forty-one thousand, one hundred twelve".