1010012313313 has 8 divisors (see below), whose sum is σ = 1013008343400. Its totient is φ = 1007020568448.

The previous prime is 1010012313311. The next prime is 1010012313379. The reversal of 1010012313313 is 3133132100101.

It can be written as a sum of positive squares in 4 ways, for example, as 30037049344 + 979975263969 = 173312^2 + 989937^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1010012313313 - 2¹ = 1010012313311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010012313311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 598906 + ... + 1542307.

It is an arithmetic number, because the mean of its divisors is an integer number (126626042925).

Almost surely, 2^{1010012313313} is an apocalyptic number.

It is an amenable number.

1010012313313 is a deficient number, since it is larger than the sum of its proper divisors (2996030087).

1010012313313 is an equidigital number, since it uses as much as digits as its factorization.

1010012313313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142611.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1010012313313 its reverse (3133132100101), we get a palindrome (4143144413414).

The spelling of 1010012313313 in words is "one trillion, ten billion, twelve million, three hundred thirteen thousand, three hundred thirteen".