101531357 has 2 divisors, whose sum is σ = 101531358. Its totient is φ = 101531356.

The previous prime is 101531351. The next prime is 101531359. The reversal of 101531357 is 753135101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100420441 + 1110916 = 10021^2 + 1054^2 .

It is an emirp because it is prime and its reverse (753135101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101531357 - 2²⁴ = 84754141 is a prime.

It is a super-2 number, since 2×101531357² = 20617232908522898, which contains 22 as substring.

Together with 101531359, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101531351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50765678 + 50765679.

It is an arithmetic number, because the mean of its divisors is an integer number (50765679).

Almost surely, 2^101531357 is an apocalyptic number.

It is an amenable number.

101531357 is a deficient number, since it is larger than the sum of its proper divisors (1).

101531357 is an equidigital number, since it uses as much as digits as its factorization.

101531357 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1575, while the sum is 26.

The square root of 101531357 is about 10076.2769414105. The cubic root of 101531357 is about 466.5162008674.

Adding to 101531357 its reverse (753135101), we get a palindrome (854666458).

The spelling of 101531357 in words is "one hundred one million, five hundred thirty-one thousand, three hundred fifty-seven".