10033011013 has 4 divisors (see below), whose sum is σ = 10378976940. Its totient is φ = 9687045088.

The previous prime is 10033010963. The next prime is 10033011061. The reversal of 10033011013 is 31011033001.

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: 31011033001 = 13 ⋅2385464077.

It can be written as a sum of positive squares in 2 ways, for example, as 8320541089 + 1712469924 = 91217^2 + 41382^2 .

It is a cyclic number.

It is not a de Polignac number, because 10033011013 - 2⁹ = 10033010501 is a prime.

It is a super-2 number, since 2×10033011013² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10033010984 and 10033011002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033011073) 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, 172982920 + ... + 172982977.

It is an arithmetic number, because the mean of its divisors is an integer number (2594744235).

Almost surely, 2^10033011013 is an apocalyptic number.

It is an amenable number.

10033011013 is a deficient number, since it is larger than the sum of its proper divisors (345965927).

10033011013 is an equidigital number, since it uses as much as digits as its factorization.

10033011013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345965926.

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

Adding to 10033011013 its reverse (31011033001), we get a palindrome (41044044014).

The spelling of 10033011013 in words is "ten billion, thirty-three million, eleven thousand, thirteen".