10121010311331 has 16 divisors (see below), whose sum is σ = 15217881731200. Its totient is φ = 6646633636104.

The previous prime is 10121010311329. The next prime is 10121010311333. The reversal of 10121010311331 is 13311301012101.

10121010311331 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 10 + 10 + 311 + 331 = 666.

10121010311331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10121010311329) and next prime (10121010311333).

It is not a de Polignac number, because 10121010311331 - 2¹ = 10121010311329 is a prime.

It is a super-2 number, since 2×10121010311331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121010311333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2797402921 + ... + 2797406538.

It is an arithmetic number, because the mean of its divisors is an integer number (951117608200).

Almost surely, 2^{10121010311331} is an apocalyptic number.

10121010311331 is a deficient number, since it is larger than the sum of its proper divisors (5096871419869).

10121010311331 is an equidigital number, since it uses as much as digits as its factorization.

10121010311331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5594809535 (or 5594809529 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10121010311331 its reverse (13311301012101), we get a palindrome (23432311323432).

The spelling of 10121010311331 in words is "ten trillion, one hundred twenty-one billion, ten million, three hundred eleven thousand, three hundred thirty-one".