10141013511 has 16 divisors (see below), whose sum is σ = 15025670400. Its totient is φ = 6759799704.

The previous prime is 10141013501. The next prime is 10141013557. The reversal of 10141013511 is 11531014101.

10141013511 is a `hidden beast` number, since 1 + 0 + 141 + 0 + 13 + 511 = 666.

10141013511 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10141013511 - 2¹⁴ = 10140997127 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141013501) 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 15 ways as a sum of consecutive naturals, for example, 240190 + ... + 279236.

It is an arithmetic number, because the mean of its divisors is an integer number (939104400).

Almost surely, 2^10141013511 is an apocalyptic number.

10141013511 is a deficient number, since it is larger than the sum of its proper divisors (4884656889).

10141013511 is an equidigital number, since it uses as much as digits as its factorization.

10141013511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48675 (or 48669 counting only the distinct ones).

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

Adding to 10141013511 its reverse (11531014101), we get a palindrome (21672027612).

It can be divided in two parts, 101410 and 13511, that added together give a square (114921 = 339²).

The spelling of 10141013511 in words is "ten billion, one hundred forty-one million, thirteen thousand, five hundred eleven".