13135005633810 has 128 divisors (see below), whose sum is σ = 35193558896640. Its totient is φ = 3122008876800.

The previous prime is 13135005633809. The next prime is 13135005633877. The reversal of 13135005633810 is 1833650053131.

13135005633810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13135005633810² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7412646 + ... + 9012065.

It is an arithmetic number, because the mean of its divisors is an integer number (274949678880).

Almost surely, 2^{13135005633810} is an apocalyptic number.

13135005633810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13135005633810 is an abundant number, since it is smaller than the sum of its proper divisors (22058553262830).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13135005633810 is a wasteful number, since it uses less digits than its factorization.

13135005633810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16424824.

The product of its (nonzero) digits is 97200, while the sum is 39.

Adding to 13135005633810 its reverse (1833650053131), we get a palindrome (14968655686941).

The spelling of 13135005633810 in words is "thirteen trillion, one hundred thirty-five billion, five million, six hundred thirty-three thousand, eight hundred ten".