10101031020113 has 16 divisors (see below), whose sum is σ = 11054931100416. Its totient is φ = 9153070592640.

The previous prime is 10101031020071. The next prime is 10101031020193. The reversal of 10101031020113 is 31102013010101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10101031020113 - 2²⁰ = 10101029971537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101031020193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148059656 + ... + 148127862.

It is an arithmetic number, because the mean of its divisors is an integer number (690933193776).

Almost surely, 2^{10101031020113} is an apocalyptic number.

It is an amenable number.

10101031020113 is a deficient number, since it is larger than the sum of its proper divisors (953900080303).

10101031020113 is a wasteful number, since it uses less digits than its factorization.

10101031020113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111544.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10101031020113 its reverse (31102013010101), we get a palindrome (41203044030214).

The spelling of 10101031020113 in words is "ten trillion, one hundred one billion, thirty-one million, twenty thousand, one hundred thirteen".