11513145063541 has 16 divisors (see below), whose sum is σ = 12900835680768. Its totient is φ = 10186058876400.

The previous prime is 11513145063529. The next prime is 11513145063559. The reversal of 11513145063541 is 14536054131511.

It is not a de Polignac number, because 11513145063541 - 2⁵ = 11513145063509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11513145063494 and 11513145063503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11513145463541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94045065 + ... + 94167406.

It is an arithmetic number, because the mean of its divisors is an integer number (806302230048).

Almost surely, 2^{11513145063541} is an apocalyptic number.

11513145063541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11513145063541 is a deficient number, since it is larger than the sum of its proper divisors (1387690617227).

11513145063541 is a wasteful number, since it uses less digits than its factorization.

11513145063541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188212632.

The product of its (nonzero) digits is 108000, while the sum is 40.

The spelling of 11513145063541 in words is "eleven trillion, five hundred thirteen billion, one hundred forty-five million, sixty-three thousand, five hundred forty-one".