101010213313 has 4 divisors (see below), whose sum is σ = 102145159620. Its totient is φ = 99875267008.

The previous prime is 101010213281. The next prime is 101010213329. The reversal of 101010213313 is 313312010101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 65670725169 + 35339488144 = 256263^2 + 187988^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010213313 - 2⁵ = 101010213281 is a prime.

It is a super-3 number, since 3×101010213313³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101010213373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 567473020 + ... + 567473197.

It is an arithmetic number, because the mean of its divisors is an integer number (25536289905).

Almost surely, 2^101010213313 is an apocalyptic number.

It is an amenable number.

101010213313 is a deficient number, since it is larger than the sum of its proper divisors (1134946307).

101010213313 is an equidigital number, since it uses as much as digits as its factorization.

101010213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134946306.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101010213313 its reverse (313312010101), we get a palindrome (414322223414).

The spelling of 101010213313 in words is "one hundred one billion, ten million, two hundred thirteen thousand, three hundred thirteen".