1013122021013 has 2 divisors, whose sum is σ = 1013122021014. Its totient is φ = 1013122021012.

The previous prime is 1013122021003. The next prime is 1013122021033. The reversal of 1013122021013 is 3101202213101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1009026277009 + 4095744004 = 1004503^2 + 63998^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013122021013 - 2⁴ = 1013122020997 is a prime.

It is a super-2 number, since 2×1013122021013² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013122020982 and 1013122021000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013122021003) 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 as a sum of consecutive naturals, namely, 506561010506 + 506561010507.

It is an arithmetic number, because the mean of its divisors is an integer number (506561010507).

Almost surely, 2^{1013122021013} is an apocalyptic number.

It is an amenable number.

1013122021013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013122021013 is an equidigital number, since it uses as much as digits as its factorization.

1013122021013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1013122021013 its reverse (3101202213101), we get a palindrome (4114324234114).

The spelling of 1013122021013 in words is "one trillion, thirteen billion, one hundred twenty-two million, twenty-one thousand, thirteen".