20131535105 has 64 divisors (see below), whose sum is σ = 28674404352. Its totient is φ = 13418845440.

The previous prime is 20131535071. The next prime is 20131535113. The reversal of 20131535105 is 50153513102.

It is a happy number.

It is not a de Polignac number, because 20131535105 - 2⁸ = 20131534849 is a prime.

It is a super-2 number, since 2×20131535105² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2879444 + ... + 2886426.

It is an arithmetic number, because the mean of its divisors is an integer number (448037568).

Almost surely, 2^20131535105 is an apocalyptic number.

It is an amenable number.

20131535105 is a deficient number, since it is larger than the sum of its proper divisors (8542869247).

20131535105 is a wasteful number, since it uses less digits than its factorization.

20131535105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7118.

The product of its (nonzero) digits is 2250, while the sum is 26.

The spelling of 20131535105 in words is "twenty billion, one hundred thirty-one million, five hundred thirty-five thousand, one hundred five".