101010111313 has 4 divisors (see below), whose sum is σ = 101138460400. Its totient is φ = 100881762228.

The previous prime is 101010111283. The next prime is 101010111317. The reversal of 101010111313 is 313111010101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101010111313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101010111293 and 101010111302.

It is not an unprimeable number, because it can be changed into a prime (101010111317) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64173363 + ... + 64174936.

It is an arithmetic number, because the mean of its divisors is an integer number (25284615100).

Almost surely, 2^101010111313 is an apocalyptic number.

It is an amenable number.

101010111313 is a deficient number, since it is larger than the sum of its proper divisors (128349087).

101010111313 is an equidigital number, since it uses as much as digits as its factorization.

101010111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128349086.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 101010111313 its reverse (313111010101), we get a palindrome (414121121414).

The spelling of 101010111313 in words is "one hundred one billion, ten million, one hundred eleven thousand, three hundred thirteen".