100232112131133 has 64 divisors (see below), whose sum is σ = 144972512133120. Its totient is φ = 61368497068032.

The previous prime is 100232112131119. The next prime is 100232112131143. The reversal of 100232112131133 is 331131211232001.

It is not a de Polignac number, because 100232112131133 - 2⁹ = 100232112130621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100232112131143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278856033 + ... + 279215241.

It is an arithmetic number, because the mean of its divisors is an integer number (2265195502080).

Almost surely, 2^{100232112131133} is an apocalyptic number.

It is an amenable number.

100232112131133 is a deficient number, since it is larger than the sum of its proper divisors (44740400001987).

100232112131133 is a wasteful number, since it uses less digits than its factorization.

100232112131133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360066.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 100232112131133 its reverse (331131211232001), we get a palindrome (431363323363134).

The spelling of 100232112131133 in words is "one hundred trillion, two hundred thirty-two billion, one hundred twelve million, one hundred thirty-one thousand, one hundred thirty-three".