31010311013130 has 384 divisors, whose sum is σ = 86193828864000. Its totient is φ = 7713064788480.

The previous prime is 31010311013117. The next prime is 31010311013131. The reversal of 31010311013130 is 3131011301013.

31010311013130 is a `hidden beast` number, since 31 + 0 + 10 + 311 + 0 + 1 + 313 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31010311013131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30077895715 + ... + 30077896745.

It is an arithmetic number, because the mean of its divisors is an integer number (224463096000).

Almost surely, 2^{31010311013130} is an apocalyptic number.

31010311013130 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 31010311013130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43096914432000).

31010311013130 is an abundant number, since it is smaller than the sum of its proper divisors (55183517850870).

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

31010311013130 is a wasteful number, since it uses less digits than its factorization.

31010311013130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 31010311013130 its reverse (3131011301013), we get a palindrome (34141322314143).

The spelling of 31010311013130 in words is "thirty-one trillion, ten billion, three hundred eleven million, thirteen thousand, one hundred thirty".