101101131301313 has 32 divisors (see below), whose sum is σ = 120139299633024. Its totient is φ = 83869056000000.

The previous prime is 101101131301273. The next prime is 101101131301409. The reversal of 101101131301313 is 313103131101101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101101131301313 - 2¹⁰ = 101101131300289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101131301613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3797738 + ... + 14718188.

It is an arithmetic number, because the mean of its divisors is an integer number (3754353113532).

Almost surely, 2^{101101131301313} is an apocalyptic number.

101101131301313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101101131301313 is a deficient number, since it is larger than the sum of its proper divisors (19038168331711).

101101131301313 is a wasteful number, since it uses less digits than its factorization.

101101131301313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10921217.

The product of its (nonzero) digits is 81, while the sum is 20.

Adding to 101101131301313 its reverse (313103131101101), we get a palindrome (414204262402414).

The spelling of 101101131301313 in words is "one hundred one trillion, one hundred one billion, one hundred thirty-one million, three hundred one thousand, three hundred thirteen".