100201431133 has 2 divisors, whose sum is σ = 100201431134. Its totient is φ = 100201431132.

The previous prime is 100201431107. The next prime is 100201431217. The reversal of 100201431133 is 331134102001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67165460569 + 33035970564 = 259163^2 + 181758^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201431133 - 2¹³ = 100201422941 is a prime.

It is a super-2 number, since 2×100201431133² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100201431133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100201431233) 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 as a sum of consecutive naturals, namely, 50100715566 + 50100715567.

It is an arithmetic number, because the mean of its divisors is an integer number (50100715567).

Almost surely, 2^100201431133 is an apocalyptic number.

It is an amenable number.

100201431133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201431133 is an equidigital number, since it uses as much as digits as its factorization.

100201431133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100201431133 its reverse (331134102001), we get a palindrome (431335533134).

The spelling of 100201431133 in words is "one hundred billion, two hundred one million, four hundred thirty-one thousand, one hundred thirty-three".