10142000013 has 32 divisors (see below), whose sum is σ = 13875240960. Its totient is φ = 6587942400.

The previous prime is 10141999999. The next prime is 10142000027. The reversal of 10142000013 is 31000024101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10141999999) and next prime (10142000027).

It is not a de Polignac number, because 10142000013 - 2⁵ = 10141999981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142000413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5975581 + ... + 5977277.

It is an arithmetic number, because the mean of its divisors is an integer number (433601280).

Almost surely, 2^10142000013 is an apocalyptic number.

It is an amenable number.

10142000013 is a deficient number, since it is larger than the sum of its proper divisors (3733240947).

10142000013 is a wasteful number, since it uses less digits than its factorization.

10142000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10142000013 its reverse (31000024101), we get a palindrome (41142024114).

The spelling of 10142000013 in words is "ten billion, one hundred forty-two million, thirteen", and thus it is an aban number.