10035332013 has 8 divisors (see below), whose sum is σ = 15291934528. Its totient is φ = 5734475424.

The previous prime is 10035331981. The next prime is 10035332051. The reversal of 10035332013 is 31023353001.

10035332013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10035332013 - 2⁵ = 10035331981 is a prime.

It is a super-2 number, since 2×10035332013² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 477872953 = 10035332013 / (1 + 0 + 0 + 3 + 5 + 3 + 3 + 2 + 0 + 1 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10035332513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238936456 + ... + 238936497.

It is an arithmetic number, because the mean of its divisors is an integer number (1911491816).

Almost surely, 2^10035332013 is an apocalyptic number.

It is an amenable number.

10035332013 is a deficient number, since it is larger than the sum of its proper divisors (5256602515).

10035332013 is an equidigital number, since it uses as much as digits as its factorization.

10035332013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477872963.

The product of its (nonzero) digits is 810, while the sum is 21.

Adding to 10035332013 its reverse (31023353001), we get a palindrome (41058685014).

The spelling of 10035332013 in words is "ten billion, thirty-five million, three hundred thirty-two thousand, thirteen".