2010135413 has 32 divisors (see below), whose sum is σ = 2434828032. Its totient is φ = 1635033600.

The previous prime is 2010135409. The next prime is 2010135427. The reversal of 2010135413 is 3145310102.

It is a cyclic number.

It is not a de Polignac number, because 2010135413 - 2² = 2010135409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010135473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 978095 + ... + 980147.

It is an arithmetic number, because the mean of its divisors is an integer number (76088376).

Almost surely, 2^2010135413 is an apocalyptic number.

It is an amenable number.

2010135413 is a deficient number, since it is larger than the sum of its proper divisors (424692619).

2010135413 is a wasteful number, since it uses less digits than its factorization.

2010135413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 2010135413 is about 44834.5337100767. The cubic root of 2010135413 is about 1262.0457681418.

Adding to 2010135413 its reverse (3145310102), we get a palindrome (5155445515).

The spelling of 2010135413 in words is "two billion, ten million, one hundred thirty-five thousand, four hundred thirteen".