10120042413 has 24 divisors (see below), whose sum is σ = 15784560792. Its totient is φ = 6210995328.

The previous prime is 10120042393. The next prime is 10120042453. The reversal of 10120042413 is 31424002101.

10120042413 is a `hidden beast` number, since 10 + 1 + 200 + 42 + 413 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 276823044 + 9843219369 = 16638^2 + 99213^2 .

It is not a de Polignac number, because 10120042413 - 2⁸ = 10120042157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120042453) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72306 + ... + 159587.

It is an arithmetic number, because the mean of its divisors is an integer number (657690033).

Almost surely, 2^10120042413 is an apocalyptic number.

10120042413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10120042413 is a deficient number, since it is larger than the sum of its proper divisors (5664518379).

10120042413 is a wasteful number, since it uses less digits than its factorization.

10120042413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232285 (or 232282 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10120042413 its reverse (31424002101), we get a palindrome (41544044514).

The spelling of 10120042413 in words is "ten billion, one hundred twenty million, forty-two thousand, four hundred thirteen".