10011142313 has 8 divisors (see below), whose sum is σ = 10602698400. Its totient is φ = 9426051648.

The previous prime is 10011142303. The next prime is 10011142327. The reversal of 10011142313 is 31324111001.

10011142313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10011142313 - 2⁶ = 10011142249 is a prime.

It is a super-2 number, since 2×10011142313² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10011142291 and 10011142300.

It is not an unprimeable number, because it can be changed into a prime (10011142303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1613168 + ... + 1619361.

It is an arithmetic number, because the mean of its divisors is an integer number (1325337300).

Almost surely, 2^10011142313 is an apocalyptic number.

It is an amenable number.

10011142313 is a deficient number, since it is larger than the sum of its proper divisors (591556087).

10011142313 is a wasteful number, since it uses less digits than its factorization.

10011142313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232711.

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

Adding to 10011142313 its reverse (31324111001), we get a palindrome (41335253314).

The spelling of 10011142313 in words is "ten billion, eleven million, one hundred forty-two thousand, three hundred thirteen".