10100131133 has 2 divisors, whose sum is σ = 10100131134. Its totient is φ = 10100131132.

The previous prime is 10100131127. The next prime is 10100131147. The reversal of 10100131133 is 33113100101.

It is a happy number.

It is an a-pointer prime, because the next prime (10100131147) can be obtained adding 10100131133 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9177065209 + 923065924 = 95797^2 + 30382^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100131133 - 2¹⁶ = 10100065597 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100131123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050065566 + 5050065567.

It is an arithmetic number, because the mean of its divisors is an integer number (5050065567).

Almost surely, 2^10100131133 is an apocalyptic number.

It is an amenable number.

10100131133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100131133 is an equidigital number, since it uses as much as digits as its factorization.

10100131133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 10100131133 its reverse (33113100101), we get a palindrome (43213231234).

The spelling of 10100131133 in words is "ten billion, one hundred million, one hundred thirty-one thousand, one hundred thirty-three".