101541540313 has 2 divisors, whose sum is σ = 101541540314. Its totient is φ = 101541540312.

The previous prime is 101541540299. The next prime is 101541540319. The reversal of 101541540313 is 313045145101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88608619584 + 12932920729 = 297672^2 + 113723^2 .

It is a cyclic number.

It is not a de Polignac number, because 101541540313 - 2⁵ = 101541540281 is a prime.

It is not a weakly prime, because it can be changed into another prime (101541540319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50770770156 + 50770770157.

It is an arithmetic number, because the mean of its divisors is an integer number (50770770157).

Almost surely, 2^101541540313 is an apocalyptic number.

It is an amenable number.

101541540313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101541540313 is an equidigital number, since it uses as much as digits as its factorization.

101541540313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 101541540313 its reverse (313045145101), we get a palindrome (414586685414).

The spelling of 101541540313 in words is "one hundred one billion, five hundred forty-one million, five hundred forty thousand, three hundred thirteen".