10022413131 has 24 divisors (see below), whose sum is σ = 14908608000. Its totient is φ = 6485190192.

The previous prime is 10022413129. The next prime is 10022413133. The reversal of 10022413131 is 13131422001.

10022413131 is a `hidden beast` number, since 100 + 22 + 413 + 131 = 666.

10022413131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10022413129) and next prime (10022413133).

It is not a de Polignac number, because 10022413131 - 2¹ = 10022413129 is a prime.

It is a super-2 number, since 2×10022413131² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10022413133) 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 23 ways as a sum of consecutive naturals, for example, 77511 + ... + 161408.

It is an arithmetic number, because the mean of its divisors is an integer number (621192000).

Almost surely, 2^10022413131 is an apocalyptic number.

10022413131 is a deficient number, since it is larger than the sum of its proper divisors (4886194869).

10022413131 is a wasteful number, since it uses less digits than its factorization.

10022413131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239063 (or 239060 counting only the distinct ones).

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

Adding to 10022413131 its reverse (13131422001), we get a palindrome (23153835132).

The spelling of 10022413131 in words is "ten billion, twenty-two million, four hundred thirteen thousand, one hundred thirty-one".