31130010000 has 150 divisors (see below), whose sum is σ = 108866456270. Its totient is φ = 8301312000.

The previous prime is 31130009971. The next prime is 31130010019. The reversal of 31130010000 is 1003113.

It can be written as a sum of positive squares in 5 ways, for example, as 12648151296 + 18481858704 = 112464^2 + 135948^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 29 ways as a sum of consecutive naturals, for example, 82945 + ... + 262944.

Almost surely, 2^31130010000 is an apocalyptic number.

31130010000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31130010000 is an abundant number, since it is smaller than the sum of its proper divisors (77736446270).

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

31130010000 is a wasteful number, since it uses less digits than its factorization.

31130010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345923 (or 345899 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 31130010000 its reverse (1003113), we get a palindrome (31131013113).

It can be divided in two parts, 31 and 130010000, that added together give a palindrome (130010031).

The spelling of 31130010000 in words is "thirty-one billion, one hundred thirty million, ten thousand".