10010120221313 has 4 divisors (see below), whose sum is σ = 10010174816688. Its totient is φ = 10010065625940.

The previous prime is 10010120221259. The next prime is 10010120221363. The reversal of 10010120221313 is 31312202101001.

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 10010120221313 - 2³⁶ = 9941400744577 is a prime.

It is a super-3 number, since 3×10010120221313³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010120221291 and 10010120221300.

It is not an unprimeable number, because it can be changed into a prime (10010120221363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27021731 + ... + 27389672.

It is an arithmetic number, because the mean of its divisors is an integer number (2502543704172).

Almost surely, 2^{10010120221313} is an apocalyptic number.

It is an amenable number.

10010120221313 is a deficient number, since it is larger than the sum of its proper divisors (54595375).

10010120221313 is an equidigital number, since it uses as much as digits as its factorization.

10010120221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54595374.

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

Adding to 10010120221313 its reverse (31312202101001), we get a palindrome (41322322322314).

The spelling of 10010120221313 in words is "ten trillion, ten billion, one hundred twenty million, two hundred twenty-one thousand, three hundred thirteen".