10021120110313 has 64 divisors (see below), whose sum is σ = 11685531432960. Its totient is φ = 8514526906368.

The previous prime is 10021120110289. The next prime is 10021120110319. The reversal of 10021120110313 is 31301102112001.

It is a happy number.

It is not a de Polignac number, because 10021120110313 - 2¹³ = 10021120102121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10021120110319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1944713145 + ... + 1944718297.

It is an arithmetic number, because the mean of its divisors is an integer number (182586428640).

Almost surely, 2^{10021120110313} is an apocalyptic number.

10021120110313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10021120110313 is a deficient number, since it is larger than the sum of its proper divisors (1664411322647).

10021120110313 is a wasteful number, since it uses less digits than its factorization.

10021120110313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6158.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10021120110313 its reverse (31301102112001), we get a palindrome (41322222222314).

The spelling of 10021120110313 in words is "ten trillion, twenty-one billion, one hundred twenty million, one hundred ten thousand, three hundred thirteen".