1313003011000 has 64 divisors (see below), whose sum is σ = 3072979316160. Its totient is φ = 525106800000.

The previous prime is 1313003010997. The next prime is 1313003011007. The reversal of 1313003011000 is 1103003131.

It is a happy number.

It is a super-2 number, since 2×1313003011000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313003011007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5585845 + ... + 5816155.

It is an arithmetic number, because the mean of its divisors is an integer number (48015301815).

Almost surely, 2^{1313003011000} is an apocalyptic number.

1313003011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313003011000 is an abundant number, since it is smaller than the sum of its proper divisors (1759976305160).

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

1313003011000 is a wasteful number, since it uses less digits than its factorization.

1313003011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236033 (or 236019 counting only the distinct ones).

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

Adding to 1313003011000 its reverse (1103003131), we get a palindrome (1314106014131).

The spelling of 1313003011000 in words is "one trillion, three hundred thirteen billion, three million, eleven thousand".