10412142312013 has 16 divisors (see below), whose sum is σ = 11431917213696. Its totient is φ = 9423861295680.

The previous prime is 10412142311999. The next prime is 10412142312031. The reversal of 10412142312013 is 31021324121401.

It is not a de Polignac number, because 10412142312013 - 2¹³ = 10412142303821 is a prime.

It is a super-2 number, since 2×10412142312013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412142312053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3727245 + ... + 5892082.

It is an arithmetic number, because the mean of its divisors is an integer number (714494825856).

Almost surely, 2^{10412142312013} is an apocalyptic number.

10412142312013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10412142312013 is a deficient number, since it is larger than the sum of its proper divisors (1019774901683).

10412142312013 is a wasteful number, since it uses less digits than its factorization.

10412142312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9620964.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 10412142312013 its reverse (31021324121401), we get a palindrome (41433466433414).

The spelling of 10412142312013 in words is "ten trillion, four hundred twelve billion, one hundred forty-two million, three hundred twelve thousand, thirteen".