11410513101 has 72 divisors (see below), whose sum is σ = 19549955880. Its totient is φ = 6380494848.

The previous prime is 11410513097. The next prime is 11410513109. The reversal of 11410513101 is 10131501411.

11410513101 is a `hidden beast` number, since 1 + 141 + 0 + 513 + 10 + 1 = 666.

11410513101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1952756100 + 9457757001 = 44190^2 + 97251^2 .

It is not a de Polignac number, because 11410513101 - 2² = 11410513097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11410513109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 742245 + ... + 757461.

It is an arithmetic number, because the mean of its divisors is an integer number (271527165).

Almost surely, 2^11410513101 is an apocalyptic number.

It is an amenable number.

11410513101 is a deficient number, since it is larger than the sum of its proper divisors (8139442779).

11410513101 is a wasteful number, since it uses less digits than its factorization.

11410513101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15295 (or 15279 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The spelling of 11410513101 in words is "eleven billion, four hundred ten million, five hundred thirteen thousand, one hundred one".