101003133157 has 2 divisors, whose sum is σ = 101003133158. Its totient is φ = 101003133156.

The previous prime is 101003133037. The next prime is 101003133191. The reversal of 101003133157 is 751331300101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53246024001 + 47757109156 = 230751^2 + 218534^2 .

It is a cyclic number.

It is not a de Polignac number, because 101003133157 - 2⁷ = 101003133029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101003133557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501566578 + 50501566579.

It is an arithmetic number, because the mean of its divisors is an integer number (50501566579).

Almost surely, 2^101003133157 is an apocalyptic number.

It is an amenable number.

101003133157 is a deficient number, since it is larger than the sum of its proper divisors (1).

101003133157 is an equidigital number, since it uses as much as digits as its factorization.

101003133157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 945, while the sum is 25.

Adding to 101003133157 its reverse (751331300101), we get a palindrome (852334433258).

The spelling of 101003133157 in words is "one hundred one billion, three million, one hundred thirty-three thousand, one hundred fifty-seven".