10033101013 has 4 divisors (see below), whose sum is σ = 10804878028. Its totient is φ = 9261324000.

The previous prime is 10033100977. The next prime is 10033101017. The reversal of 10033101013 is 31010133001.

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: 31010133001 = 31 ⋅1000326871.

It can be written as a sum of positive squares in 2 ways, for example, as 5034328209 + 4998772804 = 70953^2 + 70702^2 .

It is a cyclic number.

It is not a de Polignac number, because 10033101013 - 2²⁹ = 9496230101 is a prime.

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: 771777001 = 10033101013 / (1 + 0 + 0 + 3 + 3 + 1 + 0 + 1 + 0 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10033100984 and 10033101002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033101017) 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, 385888488 + ... + 385888513.

It is an arithmetic number, because the mean of its divisors is an integer number (2701219507).

Almost surely, 2^10033101013 is an apocalyptic number.

10033101013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10033101013 is a deficient number, since it is larger than the sum of its proper divisors (771777015).

10033101013 is an equidigital number, since it uses as much as digits as its factorization.

10033101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771777014.

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

Adding to 10033101013 its reverse (31010133001), we get a palindrome (41043234014).

The spelling of 10033101013 in words is "ten billion, thirty-three million, one hundred one thousand, thirteen".