1022100313 has 4 divisors (see below), whose sum is σ = 1100723428. Its totient is φ = 943477200.

The previous prime is 1022100311. The next prime is 1022100329. The reversal of 1022100313 is 3130012201.

1022100313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 213949129 + 808151184 = 14627^2 + 28428^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022100313 - 2¹ = 1022100311 is a prime.

It is a super-3 number, since 3×1022100313³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 78623101 = 1022100313 / (1 + 0 + 2 + 2 + 1 + 0 + 0 + 3 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1022100293 and 1022100302.

It is not an unprimeable number, because it can be changed into a prime (1022100311) 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, 39311538 + ... + 39311563.

It is an arithmetic number, because the mean of its divisors is an integer number (275180857).

Almost surely, 2^1022100313 is an apocalyptic number.

1022100313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1022100313 is a deficient number, since it is larger than the sum of its proper divisors (78623115).

1022100313 is an equidigital number, since it uses as much as digits as its factorization.

1022100313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78623114.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1022100313 is about 31970.3036113203. The cubic root of 1022100313 is about 1007.3131583403.

Adding to 1022100313 its reverse (3130012201), we get a palindrome (4152112514).

The spelling of 1022100313 in words is "one billion, twenty-two million, one hundred thousand, three hundred thirteen".