101213100313 has 8 divisors (see below), whose sum is σ = 109001624648. Its totient is φ = 93424990464.

The previous prime is 101213100283. The next prime is 101213100319. The reversal of 101213100313 is 313001312101.

It can be written as a sum of positive squares in 4 ways, for example, as 5341124889 + 95871975424 = 73083^2 + 309632^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101213100313 - 2⁵ = 101213100281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101213100319) 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 7 ways as a sum of consecutive naturals, for example, 561895 + ... + 719827.

It is an arithmetic number, because the mean of its divisors is an integer number (13625203081).

Almost surely, 2^101213100313 is an apocalyptic number.

101213100313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101213100313 is a deficient number, since it is larger than the sum of its proper divisors (7788524335).

101213100313 is a wasteful number, since it uses less digits than its factorization.

101213100313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207243.

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

Adding to 101213100313 its reverse (313001312101), we get a palindrome (414214412414).

The spelling of 101213100313 in words is "one hundred one billion, two hundred thirteen million, one hundred thousand, three hundred thirteen".