1012121321013 has 24 divisors (see below), whose sum is σ = 1595016536256. Its totient is φ = 613345824000.

The previous prime is 1012121320817. The next prime is 1012121321027. The reversal of 1012121321013 is 3101231212101.

It is not a de Polignac number, because 1012121321013 - 2¹² = 1012121316917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012121321213) 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 23 ways as a sum of consecutive naturals, for example, 501381 + ... + 1508517.

It is an arithmetic number, because the mean of its divisors is an integer number (66459022344).

Almost surely, 2^{1012121321013} is an apocalyptic number.

It is an amenable number.

1012121321013 is a deficient number, since it is larger than the sum of its proper divisors (582895215243).

1012121321013 is a wasteful number, since it uses less digits than its factorization.

1012121321013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017305 (or 1017302 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1012121321013 its reverse (3101231212101), we get a palindrome (4113352533114).

The spelling of 1012121321013 in words is "one trillion, twelve billion, one hundred twenty-one million, three hundred twenty-one thousand, thirteen".