31513005000 has 480 divisors, whose sum is σ = 110759889240. Its totient is φ = 8087040000.

The previous prime is 31513004959. The next prime is 31513005023. The reversal of 31513005000 is 50031513.

It is a happy number.

31513005000 is a `hidden beast` number, since 31 + 5 + 130 + 0 + 500 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 18356456196 + 13156548804 = 135486^2 + 114702^2 .

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

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 174104910 + ... + 174105090.

Almost surely, 2^31513005000 is an apocalyptic number.

31513005000 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 31513005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55379944620).

31513005000 is an abundant number, since it is smaller than the sum of its proper divisors (79246884240).

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

31513005000 is a wasteful number, since it uses less digits than its factorization.

31513005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

Adding to 31513005000 its reverse (50031513), we get a palindrome (31563036513).

The spelling of 31513005000 in words is "thirty-one billion, five hundred thirteen million, five thousand".