10242245252133 has 48 divisors (see below), whose sum is σ = 15000844764672. Its totient is φ = 6733419840000.

The previous prime is 10242245252119. The next prime is 10242245252147. The reversal of 10242245252133 is 33125254224201.

10242245252133 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 22 + 452 + 52 + 133 = 666.

It is an interprime number because it is at equal distance from previous prime (10242245252119) and next prime (10242245252147).

It is not a de Polignac number, because 10242245252133 - 2¹³ = 10242245243941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242245752133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1162962016 + ... + 1162970822.

It is an arithmetic number, because the mean of its divisors is an integer number (312517599264).

Almost surely, 2^{10242245252133} is an apocalyptic number.

It is an amenable number.

10242245252133 is a deficient number, since it is larger than the sum of its proper divisors (4758599512539).

10242245252133 is a wasteful number, since it uses less digits than its factorization.

10242245252133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13906 (or 13903 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 10242245252133 its reverse (33125254224201), we get a palindrome (43367499476334).

The spelling of 10242245252133 in words is "ten trillion, two hundred forty-two billion, two hundred forty-five million, two hundred fifty-two thousand, one hundred thirty-three".