10202142020313 has 16 divisors (see below), whose sum is σ = 13763681300160. Its totient is φ = 6721104090624.

The previous prime is 10202142020267. The next prime is 10202142020507. The reversal of 10202142020313 is 31302024120201.

10202142020313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10202142020313 - 2¹⁶ = 10202141954777 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10202142020313.

It is not an unprimeable number, because it can be changed into a prime (10202142000313) 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, 10628256 + ... + 11548337.

It is an arithmetic number, because the mean of its divisors is an integer number (860230081260).

Almost surely, 2^{10202142020313} is an apocalyptic number.

It is an amenable number.

10202142020313 is a deficient number, since it is larger than the sum of its proper divisors (3561539279847).

10202142020313 is a wasteful number, since it uses less digits than its factorization.

10202142020313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22178408.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10202142020313 its reverse (31302024120201), we get a palindrome (41504166140514).

The spelling of 10202142020313 in words is "ten trillion, two hundred two billion, one hundred forty-two million, twenty thousand, three hundred thirteen".