10142312013 has 96 divisors (see below), whose sum is σ = 16450892640. Its totient is φ = 5991874560.

The previous prime is 10142311973. The next prime is 10142312021. The reversal of 10142312013 is 31021324101.

10142312013 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 16 ways, for example, as 879596964 + 9262715049 = 29658^2 + 96243^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10142312013 is a prime.

It is a super-2 number, since 2×10142312013² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142312023) 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 95 ways as a sum of consecutive naturals, for example, 56034783 + ... + 56034963.

It is an arithmetic number, because the mean of its divisors is an integer number (171363465).

Almost surely, 2^10142312013 is an apocalyptic number.

It is an amenable number.

10142312013 is a deficient number, since it is larger than the sum of its proper divisors (6308580627).

10142312013 is a wasteful number, since it uses less digits than its factorization.

10142312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10142312013 its reverse (31021324101), we get a palindrome (41163636114).

The spelling of 10142312013 in words is "ten billion, one hundred forty-two million, three hundred twelve thousand, thirteen".