10121120013 has 32 divisors (see below), whose sum is σ = 14753433600. Its totient is φ = 6150145536.

The previous prime is 10121120011. The next prime is 10121120021. The reversal of 10121120013 is 31002112101.

It is not a de Polignac number, because 10121120013 - 2¹ = 10121120011 is a prime.

It is a super-3 number, since 3×10121120013³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121120011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126045 + ... + 190077.

It is an arithmetic number, because the mean of its divisors is an integer number (461044800).

Almost surely, 2^10121120013 is an apocalyptic number.

It is an amenable number.

10121120013 is a deficient number, since it is larger than the sum of its proper divisors (4632313587).

10121120013 is a wasteful number, since it uses less digits than its factorization.

10121120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64161.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10121120013 its reverse (31002112101), we get a palindrome (41123232114).

The spelling of 10121120013 in words is "ten billion, one hundred twenty-one million, one hundred twenty thousand, thirteen".