1313210013000 has 128 divisors (see below), whose sum is σ = 4164383283840. Its totient is φ = 344448480000.

The previous prime is 1313210012963. The next prime is 1313210013001. The reversal of 1313210013000 is 3100123131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1313210013001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3405006 + ... + 3771005.

It is an arithmetic number, because the mean of its divisors is an integer number (32534244405).

Almost surely, 2^{1313210013000} is an apocalyptic number.

1313210013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313210013000 is an abundant number, since it is smaller than the sum of its proper divisors (2851173270840).

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

1313210013000 is a wasteful number, since it uses less digits than its factorization.

1313210013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7176096 (or 7176082 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1313210013000 its reverse (3100123131), we get a palindrome (1316310136131).

The spelling of 1313210013000 in words is "one trillion, three hundred thirteen billion, two hundred ten million, thirteen thousand".