1001020211013 has 32 divisors (see below), whose sum is σ = 1372180839040. Its totient is φ = 648751783680.

The previous prime is 1001020210919. The next prime is 1001020211021. The reversal of 1001020211013 is 3101120201001.

1001020211013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001020211013 - 2¹⁸ = 1001019948869 is a prime.

It is a super-2 number, since 2×1001020211013² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001020211013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001020218013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136505295 + ... + 136512627.

It is an arithmetic number, because the mean of its divisors is an integer number (42880651220).

Almost surely, 2^{1001020211013} is an apocalyptic number.

It is an amenable number.

1001020211013 is a deficient number, since it is larger than the sum of its proper divisors (371160628027).

1001020211013 is a wasteful number, since it uses less digits than its factorization.

1001020211013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12229.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1001020211013 its reverse (3101120201001), we get a palindrome (4102140412014).

The spelling of 1001020211013 in words is "one trillion, one billion, twenty million, two hundred eleven thousand, thirteen".