1001302021213 has 16 divisors (see below), whose sum is σ = 1097036628912. Its totient is φ = 908269056000.

The previous prime is 1001302021207. The next prime is 1001302021273. The reversal of 1001302021213 is 3121202031001.

It can be written as a sum of positive squares in 8 ways, for example, as 247942251844 + 753359769369 = 497938^2 + 867963^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001302021213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001302021273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246333 + ... + 1436413.

It is an arithmetic number, because the mean of its divisors is an integer number (68564789307).

Almost surely, 2^{1001302021213} is an apocalyptic number.

1001302021213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1001302021213 is a deficient number, since it is larger than the sum of its proper divisors (95734607699).

1001302021213 is a wasteful number, since it uses less digits than its factorization.

1001302021213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191216.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1001302021213 its reverse (3121202031001), we get a palindrome (4122504052214).

The spelling of 1001302021213 in words is "one trillion, one billion, three hundred two million, twenty-one thousand, two hundred thirteen".