1010011100313 has 16 divisors (see below), whose sum is σ = 1376073651456. Its totient is φ = 658660045440.

The previous prime is 1010011100309. The next prime is 1010011100317. The reversal of 1010011100313 is 3130011100101.

1010011100313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1010011100309) and next prime (1010011100317).

It is not a de Polignac number, because 1010011100313 - 2² = 1010011100309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010011100317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1662156 + ... + 2186957.

It is an arithmetic number, because the mean of its divisors is an integer number (86004603216).

Almost surely, 2^{1010011100313} is an apocalyptic number.

It is an amenable number.

1010011100313 is a deficient number, since it is larger than the sum of its proper divisors (366062551143).

1010011100313 is a wasteful number, since it uses less digits than its factorization.

1010011100313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3851024.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 1010011100313 its reverse (3130011100101), we get a palindrome (4140022200414).

The spelling of 1010011100313 in words is "one trillion, ten billion, eleven million, one hundred thousand, three hundred thirteen".