31132313130 has 128 divisors (see below), whose sum is σ = 77245249536. Its totient is φ = 8027078400.

The previous prime is 31132313111. The next prime is 31132313141. The reversal of 31132313130 is 3131323113.

It is a junction number, because it is equal to n+sod(n) for n = 31132313097 and 31132313106.

It is an unprimeable number.

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, 30195715 + ... + 30196745.

It is an arithmetic number, because the mean of its divisors is an integer number (603478512).

Almost surely, 2^31132313130 is an apocalyptic number.

31132313130 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 31132313130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38622624768).

31132313130 is an abundant number, since it is smaller than the sum of its proper divisors (46112936406).

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

31132313130 is a wasteful number, since it uses less digits than its factorization.

31132313130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 31132313130 its reverse (3131323113), we get a palindrome (34263636243).

The spelling of 31132313130 in words is "thirty-one billion, one hundred thirty-two million, three hundred thirteen thousand, one hundred thirty".