31112150133540 has 288 divisors, whose sum is σ = 101740129263360. Its totient is φ = 7083095921664.

The previous prime is 31112150133521. The next prime is 31112150133541. The reversal of 31112150133540 is 4533105121113.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 31112150133498 and 31112150133507.

It is not an unprimeable number, because it can be changed into a prime (31112150133541) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 752698714 + ... + 752740046.

It is an arithmetic number, because the mean of its divisors is an integer number (353264337720).

Almost surely, 2^{31112150133540} is an apocalyptic number.

31112150133540 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 31112150133540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50870064631680).

31112150133540 is an abundant number, since it is smaller than the sum of its proper divisors (70627979129820).

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

31112150133540 is a wasteful number, since it uses less digits than its factorization.

31112150133540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42371 (or 42362 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 31112150133540 its reverse (4533105121113), we get a palindrome (35645255254653).

The spelling of 31112150133540 in words is "thirty-one trillion, one hundred twelve billion, one hundred fifty million, one hundred thirty-three thousand, five hundred forty".