10024231242213 has 12 divisors (see below), whose sum is σ = 14479565231820. Its totient is φ = 6682765395456.

The previous prime is 10024231242199. The next prime is 10024231242217. The reversal of 10024231242213 is 31224213242001.

10024231242213 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 4 + 231 + 2 + 422 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7342110994689 + 2682120247524 = 2709633^2 + 1637718^2 .

It is not a de Polignac number, because 10024231242213 - 2⁴ = 10024231242197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024231242217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3458748 + ... + 5657861.

It is an arithmetic number, because the mean of its divisors is an integer number (1206630435985).

Almost surely, 2^{10024231242213} is an apocalyptic number.

It is an amenable number.

10024231242213 is a deficient number, since it is larger than the sum of its proper divisors (4455333989607).

10024231242213 is a wasteful number, since it uses less digits than its factorization.

10024231242213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9238788 (or 9238785 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10024231242213 its reverse (31224213242001), we get a palindrome (41248444484214).

The spelling of 10024231242213 in words is "ten trillion, twenty-four billion, two hundred thirty-one million, two hundred forty-two thousand, two hundred thirteen".