100231133003137 has 2 divisors, whose sum is σ = 100231133003138. Its totient is φ = 100231133003136.

The previous prime is 100231133003101. The next prime is 100231133003143. The reversal of 100231133003137 is 731300331132001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87754159262961 + 12476973740176 = 9367719^2 + 3532276^2 .

It is a cyclic number.

It is not a de Polignac number, because 100231133003137 - 2¹⁹ = 100231132478849 is a prime.

It is not a weakly prime, because it can be changed into another prime (100231133003737) 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 as a sum of consecutive naturals, namely, 50115566501568 + 50115566501569.

It is an arithmetic number, because the mean of its divisors is an integer number (50115566501569).

Almost surely, 2^{100231133003137} is an apocalyptic number.

It is an amenable number.

100231133003137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100231133003137 is an equidigital number, since it uses as much as digits as its factorization.

100231133003137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 28.

Adding to 100231133003137 its reverse (731300331132001), we get a palindrome (831531464135138).

The spelling of 100231133003137 in words is "one hundred trillion, two hundred thirty-one billion, one hundred thirty-three million, three thousand, one hundred thirty-seven".