10121122023313 has 8 divisors (see below), whose sum is σ = 11600139857600. Its totient is φ = 8650390003920.

The previous prime is 10121122023277. The next prime is 10121122023319. The reversal of 10121122023313 is 31332022112101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10121122023313 - 2³³ = 10112532088721 is a prime.

It is a super-2 number, since 2×10121122023313² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10121122023319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2071451103 + ... + 2071455988.

It is an arithmetic number, because the mean of its divisors is an integer number (1450017482200).

Almost surely, 2^{10121122023313} is an apocalyptic number.

It is an amenable number.

10121122023313 is a deficient number, since it is larger than the sum of its proper divisors (1479017834287).

10121122023313 is an equidigital number, since it uses as much as digits as its factorization.

10121122023313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4142907447.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10121122023313 its reverse (31332022112101), we get a palindrome (41453144135414).

The spelling of 10121122023313 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-two million, twenty-three thousand, three hundred thirteen".