1010130042113 has 8 divisors (see below), whose sum is σ = 1037477102760. Its totient is φ = 982785415680.

The previous prime is 1010130042079. The next prime is 1010130042143. The reversal of 1010130042113 is 3112400310101.

It can be written as a sum of positive squares in 4 ways, for example, as 276489827329 + 733640214784 = 525823^2 + 856528^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1010130042113 - 2¹⁶ = 1010129976577 is a prime.

It is a super-2 number, since 2×1010130042113² (a number of 25 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 = 1010130042091 and 1010130042100.

It is not an unprimeable number, because it can be changed into a prime (1010130042143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248753 + ... + 1442961.

It is an arithmetic number, because the mean of its divisors is an integer number (129684637845).

Almost surely, 2^{1010130042113} is an apocalyptic number.

It is an amenable number.

1010130042113 is a deficient number, since it is larger than the sum of its proper divisors (27347060647).

1010130042113 is a wasteful number, since it uses less digits than its factorization.

1010130042113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217107.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1010130042113 its reverse (3112400310101), we get a palindrome (4122530352214).

The spelling of 1010130042113 in words is "one trillion, ten billion, one hundred thirty million, forty-two thousand, one hundred thirteen".