1313100031000 has 32 divisors (see below), whose sum is σ = 3072654074880. Its totient is φ = 525240012000.

The previous prime is 1313100030953. The next prime is 1313100031003. The reversal of 1313100031000 is 1300013131.

It is a happy number.

It is a super-3 number, since 3×1313100031000³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313100031003) 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 7 ways as a sum of consecutive naturals, for example, 656549016 + ... + 656551015.

It is an arithmetic number, because the mean of its divisors is an integer number (96020439840).

Almost surely, 2^{1313100031000} is an apocalyptic number.

1313100031000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313100031000 is an abundant number, since it is smaller than the sum of its proper divisors (1759554043880).

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

1313100031000 is a wasteful number, since it uses less digits than its factorization.

1313100031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313100052 (or 1313100038 counting only the distinct ones).

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

Adding to 1313100031000 its reverse (1300013131), we get a palindrome (1314400044131).

The spelling of 1313100031000 in words is "one trillion, three hundred thirteen billion, one hundred million, thirty-one thousand".