31130185680 has 240 divisors, whose sum is σ = 118274554944. Its totient is φ = 7546659840.

The previous prime is 31130185621. The next prime is 31130185687. The reversal of 31130185680 is 8658103113.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31130185687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141052 + ... + 286628.

Almost surely, 2^31130185680 is an apocalyptic number.

31130185680 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 31130185680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59137277472).

31130185680 is an abundant number, since it is smaller than the sum of its proper divisors (87144369264).

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

31130185680 is a wasteful number, since it uses less digits than its factorization.

31130185680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145616 (or 145598 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 31130185680 its reverse (8658103113), we get a palindrome (39788288793).

The spelling of 31130185680 in words is "thirty-one billion, one hundred thirty million, one hundred eighty-five thousand, six hundred eighty".