10121130331031 has 16 divisors (see below), whose sum is σ = 10317853677600. Its totient is φ = 9924622181760.

The previous prime is 10121130331003. The next prime is 10121130331139. The reversal of 10121130331031 is 13013303112101.

It is a cyclic number.

It is not a de Polignac number, because 10121130331031 - 2²² = 10121126136727 is a prime.

It is a super-2 number, since 2×10121130331031² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10121130330994 and 10121130331012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121150331031) 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 15 ways as a sum of consecutive naturals, for example, 1179477161 + ... + 1179485741.

It is an arithmetic number, because the mean of its divisors is an integer number (644865854850).

Almost surely, 2^{10121130331031} is an apocalyptic number.

10121130331031 is a deficient number, since it is larger than the sum of its proper divisors (196723346569).

10121130331031 is an equidigital number, since it uses as much as digits as its factorization.

10121130331031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18466.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 10121130331031 its reverse (13013303112101), we get a palindrome (23134433443132).

The spelling of 10121130331031 in words is "ten trillion, one hundred twenty-one billion, one hundred thirty million, three hundred thirty-one thousand, thirty-one".