11071315513071 has 48 divisors (see below), whose sum is σ = 17502527877120. Its totient is φ = 6688055597760.

The previous prime is 11071315513067. The next prime is 11071315513103. The reversal of 11071315513071 is 17031551317011.

11071315513071 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 1 + 3 + 1 + 551 + 30 + 71 = 666.

It is not a de Polignac number, because 11071315513071 - 2² = 11071315513067 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11071315513471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64869370 + ... + 65039816.

It is an arithmetic number, because the mean of its divisors is an integer number (364635997440).

Almost surely, 2^{11071315513071} is an apocalyptic number.

11071315513071 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11071315513071 is a deficient number, since it is larger than the sum of its proper divisors (6431212364049).

11071315513071 is a wasteful number, since it uses less digits than its factorization.

11071315513071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172596 (or 172593 counting only the distinct ones).

The product of its (nonzero) digits is 11025, while the sum is 36.

The spelling of 11071315513071 in words is "eleven trillion, seventy-one billion, three hundred fifteen million, five hundred thirteen thousand, seventy-one".