1001300213000 has 64 divisors (see below), whose sum is σ = 2343240759600. Its totient is φ = 400486195200.

The previous prime is 1001300212949. The next prime is 1001300213059. The reversal of 1001300213000 is 3120031001.

It can be written as a sum of positive squares in 8 ways, for example, as 272711639524 + 728588573476 = 522218^2 + 853574^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14161736 + ... + 14232264.

Almost surely, 2^{1001300213000} is an apocalyptic number.

1001300213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001300213000 is an abundant number, since it is smaller than the sum of its proper divisors (1341940546600).

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

1001300213000 is a wasteful number, since it uses less digits than its factorization.

1001300213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84747 (or 84733 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 1001300213000 its reverse (3120031001), we get a palindrome (1004420244001).

The spelling of 1001300213000 in words is "one trillion, one billion, three hundred million, two hundred thirteen thousand".