31133010030 has 128 divisors (see below), whose sum is σ = 78006343680. Its totient is φ = 7942609920.

The previous prime is 31133010023. The next prime is 31133010031. The reversal of 31133010030 is 3001033113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 31133009991 and 31133010009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31133010031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84830907 + ... + 84831273.

It is an arithmetic number, because the mean of its divisors is an integer number (609424560).

Almost surely, 2^31133010030 is an apocalyptic number.

31133010030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31133010030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39003171840).

31133010030 is an abundant number, since it is smaller than the sum of its proper divisors (46873333650).

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

31133010030 is a wasteful number, since it uses less digits than its factorization.

31133010030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034.

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 31133010030 its reverse (3001033113), we get a palindrome (34134043143).

The spelling of 31133010030 in words is "thirty-one billion, one hundred thirty-three million, ten thousand, thirty".