1012211101313 has 4 divisors (see below), whose sum is σ = 1071752930820. Its totient is φ = 952669271808.

The previous prime is 1012211101261. The next prime is 1012211101397. The reversal of 1012211101313 is 3131011122101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 719387259889 + 292823841424 = 848167^2 + 541132^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012211101313 - 2³⁶ = 943491624577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 59541829489 = 1012211101313 / (1 + 0 + 1 + 2 + 2 + 1 + 1 + 1 + 0 + 1 + 3 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1012211101291 and 1012211101300.

It is not an unprimeable number, because it can be changed into a prime (1012211101513) 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 3 ways as a sum of consecutive naturals, for example, 29770914728 + ... + 29770914761.

It is an arithmetic number, because the mean of its divisors is an integer number (267938232705).

Almost surely, 2^{1012211101313} is an apocalyptic number.

It is an amenable number.

1012211101313 is a deficient number, since it is larger than the sum of its proper divisors (59541829507).

1012211101313 is an equidigital number, since it uses as much as digits as its factorization.

1012211101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59541829506.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 1012211101313 its reverse (3131011122101), we get a palindrome (4143222223414).

The spelling of 1012211101313 in words is "one trillion, twelve billion, two hundred eleven million, one hundred one thousand, three hundred thirteen".