101303010013 has 4 divisors (see below), whose sum is σ = 107262010620. Its totient is φ = 95344009408.

The previous prime is 101303009953. The next prime is 101303010041. The reversal of 101303010013 is 310010303101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 310010303101 = 151537 ⋅2045773.

It can be written as a sum of positive squares in 2 ways, for example, as 89938810404 + 11364199609 = 299898^2 + 106603^2 .

It is a cyclic number.

It is not a de Polignac number, because 101303010013 - 2²¹ = 101300912861 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101303009975 and 101303010002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101303010713) 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, 2979500278 + ... + 2979500311.

It is an arithmetic number, because the mean of its divisors is an integer number (26815502655).

Almost surely, 2^101303010013 is an apocalyptic number.

It is an amenable number.

101303010013 is a deficient number, since it is larger than the sum of its proper divisors (5959000607).

101303010013 is an equidigital number, since it uses as much as digits as its factorization.

101303010013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5959000606.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 101303010013 its reverse (310010303101), we get a palindrome (411313313114).

The spelling of 101303010013 in words is "one hundred one billion, three hundred three million, ten thousand, thirteen".