10010434113313 has 16 divisors (see below), whose sum is σ = 10894859848656. Its totient is φ = 9160418805760.

The previous prime is 10010434113271. The next prime is 10010434113341. The reversal of 10010434113313 is 31331143401001.

10010434113313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 482667836049 + 9527766277264 = 694743^2 + 3086708^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010434113313 - 2¹³ = 10010434105121 is a prime.

It is a super-2 number, since 2×10010434113313² (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 (10010434113013) 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, 24304606 + ... + 24713047.

It is an arithmetic number, because the mean of its divisors is an integer number (680928740541).

Almost surely, 2^{10010434113313} is an apocalyptic number.

It is an amenable number.

10010434113313 is a deficient number, since it is larger than the sum of its proper divisors (884425735343).

10010434113313 is a wasteful number, since it uses less digits than its factorization.

10010434113313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49018004.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 10010434113313 its reverse (31331143401001), we get a palindrome (41341577514314).

The spelling of 10010434113313 in words is "ten trillion, ten billion, four hundred thirty-four million, one hundred thirteen thousand, three hundred thirteen".