10122120313013 has 4 divisors (see below), whose sum is σ = 10337484575040. Its totient is φ = 9906756050988.

The previous prime is 10122120313003. The next prime is 10122120313021. The reversal of 10122120313013 is 31031302122101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10122120313013 - 2⁸ = 10122120312757 is a prime.

It is a super-2 number, since 2×10122120313013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122120313003) 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, 107682130943 + ... + 107682131036.

It is an arithmetic number, because the mean of its divisors is an integer number (2584371143760).

Almost surely, 2^{10122120313013} is an apocalyptic number.

It is an amenable number.

10122120313013 is a deficient number, since it is larger than the sum of its proper divisors (215364262027).

10122120313013 is an equidigital number, since it uses as much as digits as its factorization.

10122120313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215364262026.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10122120313013 its reverse (31031302122101), we get a palindrome (41153422435114).

The spelling of 10122120313013 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty million, three hundred thirteen thousand, thirteen".