35100013 has 8 divisors (see below), whose sum is σ = 38822168. Its totient is φ = 31523904.

The previous prime is 35100007. The next prime is 35100041. The reversal of 35100013 is 31000153.

It can be written as a sum of positive squares in 4 ways, for example, as 4485924 + 30614089 = 2118^2 + 5533^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 35100013 - 2²⁵ = 1545581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 35099966 and 35100002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35100073) 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, 36006 + ... + 36967.

It is an arithmetic number, because the mean of its divisors is an integer number (4852771).

Almost surely, 2^35100013 is an apocalyptic number.

It is an amenable number.

35100013 is a deficient number, since it is larger than the sum of its proper divisors (3722155).

35100013 is a wasteful number, since it uses less digits than its factorization.

35100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73023.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 35100013 is about 5924.5263945737. The cubic root of 35100013 is about 327.4179053403.

Adding to 35100013 its reverse (31000153), we get a palindrome (66100166).

The spelling of 35100013 in words is "thirty-five million, one hundred thousand, thirteen".