101013020313 has 16 divisors (see below), whose sum is σ = 140606558400. Its totient is φ = 64423356480.

The previous prime is 101013020299. The next prime is 101013020359. The reversal of 101013020313 is 313020310101.

It is not a de Polignac number, because 101013020313 - 2⁸ = 101013020057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101013020292 and 101013020301.

It is not an unprimeable number, because it can be changed into a prime (101013020363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5316523 + ... + 5335488.

It is an arithmetic number, because the mean of its divisors is an integer number (8787909900).

Almost surely, 2^101013020313 is an apocalyptic number.

It is an amenable number.

101013020313 is a deficient number, since it is larger than the sum of its proper divisors (39593538087).

101013020313 is a wasteful number, since it uses less digits than its factorization.

101013020313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10652152.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 101013020313 its reverse (313020310101), we get a palindrome (414033330414).

The spelling of 101013020313 in words is "one hundred one billion, thirteen million, twenty thousand, three hundred thirteen".