101133303157 has 2 divisors, whose sum is σ = 101133303158. Its totient is φ = 101133303156.

The previous prime is 101133303119. The next prime is 101133303163. The reversal of 101133303157 is 751303331101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90753972516 + 10379330641 = 301254^2 + 101879^2 .

It is a cyclic number.

It is not a de Polignac number, because 101133303157 - 2¹⁹ = 101132778869 is a prime.

It is a super-3 number, since 3×101133303157³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101133303107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50566651578 + 50566651579.

It is an arithmetic number, because the mean of its divisors is an integer number (50566651579).

Almost surely, 2^101133303157 is an apocalyptic number.

It is an amenable number.

101133303157 is a deficient number, since it is larger than the sum of its proper divisors (1).

101133303157 is an equidigital number, since it uses as much as digits as its factorization.

101133303157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2835, while the sum is 28.

Adding to 101133303157 its reverse (751303331101), we get a palindrome (852436634258).

The spelling of 101133303157 in words is "one hundred one billion, one hundred thirty-three million, three hundred three thousand, one hundred fifty-seven".