10131313000 has 64 divisors (see below), whose sum is σ = 24955070400. Its totient is φ = 3839227200.

The previous prime is 10131312991. The next prime is 10131313001. The reversal of 10131313000 is 31313101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10131313001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 247614 + ... + 285613.

It is an arithmetic number, because the mean of its divisors is an integer number (389922975).

Almost surely, 2^10131313000 is an apocalyptic number.

10131313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131313000 is an abundant number, since it is smaller than the sum of its proper divisors (14823757400).

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

10131313000 is a wasteful number, since it uses less digits than its factorization.

10131313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533267 (or 533253 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10131313000 its reverse (31313101), we get a palindrome (10162626101).

The spelling of 10131313000 in words is "ten billion, one hundred thirty-one million, three hundred thirteen thousand".