1001211313301 has 24 divisors (see below), whose sum is σ = 1060197020064. Its totient is φ = 945364361760.

The previous prime is 1001211313229. The next prime is 1001211313321. The reversal of 1001211313301 is 1033131121001.

1001211313301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-1001211313301 is a prime.

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 1001211313301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001211313321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156509435 + ... + 156515831.

It is an arithmetic number, because the mean of its divisors is an integer number (44174875836).

Almost surely, 2^{1001211313301} is an apocalyptic number.

It is an amenable number.

1001211313301 is a deficient number, since it is larger than the sum of its proper divisors (58985706763).

1001211313301 is an equidigital number, since it uses as much as digits as its factorization.

1001211313301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7809 (or 7790 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1001211313301 its reverse (1033131121001), we get a palindrome (2034342434302).

The spelling of 1001211313301 in words is "one trillion, one billion, two hundred eleven million, three hundred thirteen thousand, three hundred one".